Question
Simplify the expression
48x10sqrt−216x9s2q2r2t2−36x10s2q2r2t2+324x9s3q3r3t3−288x9sqrt+2880x8s2q2r2t2−4104x8s3q3r3t3+1296x8s4q4r4t4+384x8sqrt−4608x7s2q2r2t2+6912x7s3q3r3t3−2592x7s4q4r4t4
Evaluate
x5(x−2)(x−(4−sqrt×3))(x(4−sqrt×3))(x−(4sqrt×3))(x(4sqrt×3))
Remove the parentheses
x5(x−2)(x−(4−sqrt×3))x(4−sqrt×3)(x−(4sqrt×3))x×4sqrt×3
Use the commutative property to reorder the terms
x5(x−2)(x−(4−3sqrt))x(4−sqrt×3)(x−(4sqrt×3))x×4sqrt×3
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x5(x−2)(x−4+3sqrt)x(4−sqrt×3)(x−(4sqrt×3))x×4sqrt×3
Use the commutative property to reorder the terms
x5(x−2)(x−4+3sqrt)x(4−3sqrt)(x−(4sqrt×3))x×4sqrt×3
Multiply the terms
x5(x−2)(x−4+3sqrt)x(4−3sqrt)(x−12sqrt)x×4sqrt×3
Multiply the terms with the same base by adding their exponents
x5+1+1(x−2)(x−4+3sqrt)(4−3sqrt)(x−12sqrt)×4sqrt×3
Add the numbers
x7(x−2)(x−4+3sqrt)(4−3sqrt)(x−12sqrt)×4sqrt×3
Multiply the terms
x7(x−2)(x−4+3sqrt)(4−3sqrt)(x−12sqrt)×12sqrt
Use the commutative property to reorder the terms
12x7sqrt(x−2)(x−4+3sqrt)(4−3sqrt)(x−12sqrt)
Multiply the terms
More Steps

Evaluate
12x7sqrt(x−2)
Apply the distributive property
12x7sqrtx−12x7sqrt×2
Multiply the terms
More Steps

Evaluate
x7×x
Use the product rule an×am=an+m to simplify the expression
x7+1
Add the numbers
x8
12x8sqrt−12x7sqrt×2
Multiply the numbers
12x8sqrt−24x7sqrt
(12x8sqrt−24x7sqrt)(x−4+3sqrt)(4−3sqrt)(x−12sqrt)
Multiply the terms
More Steps

Evaluate
(12x8sqrt−24x7sqrt)(x−4+3sqrt)
Apply the distributive property
12x8sqrtx−12x8sqrt×4+12x8sqrt×3sqrt−24x7sqrtx−(−24x7sqrt×4)−24x7sqrt×3sqrt
Multiply the terms
More Steps

Evaluate
x8×x
Use the product rule an×am=an+m to simplify the expression
x8+1
Add the numbers
x9
12x9sqrt−12x8sqrt×4+12x8sqrt×3sqrt−24x7sqrtx−(−24x7sqrt×4)−24x7sqrt×3sqrt
Multiply the numbers
12x9sqrt−48x8sqrt+12x8sqrt×3sqrt−24x7sqrtx−(−24x7sqrt×4)−24x7sqrt×3sqrt
Multiply the terms
More Steps

Evaluate
12x8sqrt×3sqrt
Multiply the numbers
36x8sqrtsqrt
Multiply the terms
36x8s2qrtqrt
Multiply the terms
36x8s2q2rtrt
Multiply the terms
36x8s2q2r2t×t
Multiply the terms
36x8s2q2r2t2
12x9sqrt−48x8sqrt+36x8s2q2r2t2−24x7sqrtx−(−24x7sqrt×4)−24x7sqrt×3sqrt
Multiply the terms
More Steps

Evaluate
x7×x
Use the product rule an×am=an+m to simplify the expression
x7+1
Add the numbers
x8
12x9sqrt−48x8sqrt+36x8s2q2r2t2−24x8sqrt−(−24x7sqrt×4)−24x7sqrt×3sqrt
Multiply the numbers
12x9sqrt−48x8sqrt+36x8s2q2r2t2−24x8sqrt−(−96x7sqrt)−24x7sqrt×3sqrt
Multiply the terms
More Steps

Evaluate
−24x7sqrt×3sqrt
Multiply the numbers
−72x7sqrtsqrt
Multiply the terms
−72x7s2qrtqrt
Multiply the terms
−72x7s2q2rtrt
Multiply the terms
−72x7s2q2r2t×t
Multiply the terms
−72x7s2q2r2t2
12x9sqrt−48x8sqrt+36x8s2q2r2t2−24x8sqrt−(−96x7sqrt)−72x7s2q2r2t2
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
12x9sqrt−48x8sqrt+36x8s2q2r2t2−24x8sqrt+96x7sqrt−72x7s2q2r2t2
Subtract the terms
More Steps

Evaluate
−48x8sqrt−24x8sqrt
Collect like terms by calculating the sum or difference of their coefficients
(−48−24)x8sqrt
Subtract the numbers
−72x8sqrt
12x9sqrt−72x8sqrt+36x8s2q2r2t2+96x7sqrt−72x7s2q2r2t2
(12x9sqrt−72x8sqrt+36x8s2q2r2t2+96x7sqrt−72x7s2q2r2t2)(4−3sqrt)(x−12sqrt)
Multiply the terms
More Steps

Evaluate
(12x9sqrt−72x8sqrt+36x8s2q2r2t2+96x7sqrt−72x7s2q2r2t2)(4−3sqrt)
Apply the distributive property
12x9sqrt×4−12x9sqrt×3sqrt−72x8sqrt×4−(−72x8sqrt×3sqrt)+36x8s2q2r2t2×4−36x8s2q2r2t2×3sqrt+96x7sqrt×4−96x7sqrt×3sqrt−72x7s2q2r2t2×4−(−72x7s2q2r2t2×3sqrt)
Multiply the numbers
48x9sqrt−12x9sqrt×3sqrt−72x8sqrt×4−(−72x8sqrt×3sqrt)+36x8s2q2r2t2×4−36x8s2q2r2t2×3sqrt+96x7sqrt×4−96x7sqrt×3sqrt−72x7s2q2r2t2×4−(−72x7s2q2r2t2×3sqrt)
Multiply the terms
More Steps

Evaluate
12x9sqrt×3sqrt
Multiply the numbers
36x9sqrtsqrt
Multiply the terms
36x9s2qrtqrt
Multiply the terms
36x9s2q2rtrt
Multiply the terms
36x9s2q2r2t×t
Multiply the terms
36x9s2q2r2t2
48x9sqrt−36x9s2q2r2t2−72x8sqrt×4−(−72x8sqrt×3sqrt)+36x8s2q2r2t2×4−36x8s2q2r2t2×3sqrt+96x7sqrt×4−96x7sqrt×3sqrt−72x7s2q2r2t2×4−(−72x7s2q2r2t2×3sqrt)
Multiply the numbers
48x9sqrt−36x9s2q2r2t2−288x8sqrt−(−72x8sqrt×3sqrt)+36x8s2q2r2t2×4−36x8s2q2r2t2×3sqrt+96x7sqrt×4−96x7sqrt×3sqrt−72x7s2q2r2t2×4−(−72x7s2q2r2t2×3sqrt)
Multiply the terms
More Steps

Evaluate
−72x8sqrt×3sqrt
Multiply the numbers
−216x8sqrtsqrt
Multiply the terms
−216x8s2qrtqrt
Multiply the terms
−216x8s2q2rtrt
Multiply the terms
−216x8s2q2r2t×t
Multiply the terms
−216x8s2q2r2t2
48x9sqrt−36x9s2q2r2t2−288x8sqrt−(−216x8s2q2r2t2)+36x8s2q2r2t2×4−36x8s2q2r2t2×3sqrt+96x7sqrt×4−96x7sqrt×3sqrt−72x7s2q2r2t2×4−(−72x7s2q2r2t2×3sqrt)
Multiply the numbers
48x9sqrt−36x9s2q2r2t2−288x8sqrt−(−216x8s2q2r2t2)+144x8s2q2r2t2−36x8s2q2r2t2×3sqrt+96x7sqrt×4−96x7sqrt×3sqrt−72x7s2q2r2t2×4−(−72x7s2q2r2t2×3sqrt)
Multiply the terms
More Steps

Evaluate
36x8s2q2r2t2×3sqrt
Multiply the numbers
108x8s2q2r2t2sqrt
Multiply the terms
108x8s3q2r2t2qrt
Multiply the terms
108x8s3q3r2t2rt
Multiply the terms
108x8s3q3r3t2×t
Multiply the terms
108x8s3q3r3t3
48x9sqrt−36x9s2q2r2t2−288x8sqrt−(−216x8s2q2r2t2)+144x8s2q2r2t2−108x8s3q3r3t3+96x7sqrt×4−96x7sqrt×3sqrt−72x7s2q2r2t2×4−(−72x7s2q2r2t2×3sqrt)
Multiply the numbers
48x9sqrt−36x9s2q2r2t2−288x8sqrt−(−216x8s2q2r2t2)+144x8s2q2r2t2−108x8s3q3r3t3+384x7sqrt−96x7sqrt×3sqrt−72x7s2q2r2t2×4−(−72x7s2q2r2t2×3sqrt)
Multiply the terms
More Steps

Evaluate
96x7sqrt×3sqrt
Multiply the numbers
288x7sqrtsqrt
Multiply the terms
288x7s2qrtqrt
Multiply the terms
288x7s2q2rtrt
Multiply the terms
288x7s2q2r2t×t
Multiply the terms
288x7s2q2r2t2
48x9sqrt−36x9s2q2r2t2−288x8sqrt−(−216x8s2q2r2t2)+144x8s2q2r2t2−108x8s3q3r3t3+384x7sqrt−288x7s2q2r2t2−72x7s2q2r2t2×4−(−72x7s2q2r2t2×3sqrt)
Multiply the numbers
48x9sqrt−36x9s2q2r2t2−288x8sqrt−(−216x8s2q2r2t2)+144x8s2q2r2t2−108x8s3q3r3t3+384x7sqrt−288x7s2q2r2t2−288x7s2q2r2t2−(−72x7s2q2r2t2×3sqrt)
Multiply the terms
More Steps

Evaluate
−72x7s2q2r2t2×3sqrt
Multiply the numbers
−216x7s2q2r2t2sqrt
Multiply the terms
−216x7s3q2r2t2qrt
Multiply the terms
−216x7s3q3r2t2rt
Multiply the terms
−216x7s3q3r3t2×t
Multiply the terms
−216x7s3q3r3t3
48x9sqrt−36x9s2q2r2t2−288x8sqrt−(−216x8s2q2r2t2)+144x8s2q2r2t2−108x8s3q3r3t3+384x7sqrt−288x7s2q2r2t2−288x7s2q2r2t2−(−216x7s3q3r3t3)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
48x9sqrt−36x9s2q2r2t2−288x8sqrt+216x8s2q2r2t2+144x8s2q2r2t2−108x8s3q3r3t3+384x7sqrt−288x7s2q2r2t2−288x7s2q2r2t2+216x7s3q3r3t3
Add the terms
More Steps

Evaluate
216x8s2q2r2t2+144x8s2q2r2t2
Collect like terms by calculating the sum or difference of their coefficients
(216+144)x8s2q2r2t2
Add the numbers
360x8s2q2r2t2
48x9sqrt−36x9s2q2r2t2−288x8sqrt+360x8s2q2r2t2−108x8s3q3r3t3+384x7sqrt−288x7s2q2r2t2−288x7s2q2r2t2+216x7s3q3r3t3
Subtract the terms
More Steps

Evaluate
−288x7s2q2r2t2−288x7s2q2r2t2
Collect like terms by calculating the sum or difference of their coefficients
(−288−288)x7s2q2r2t2
Subtract the numbers
−576x7s2q2r2t2
48x9sqrt−36x9s2q2r2t2−288x8sqrt+360x8s2q2r2t2−108x8s3q3r3t3+384x7sqrt−576x7s2q2r2t2+216x7s3q3r3t3
(48x9sqrt−36x9s2q2r2t2−288x8sqrt+360x8s2q2r2t2−108x8s3q3r3t3+384x7sqrt−576x7s2q2r2t2+216x7s3q3r3t3)(x−12sqrt)
Apply the distributive property
48x9sqrtx−48x9sqrt×12sqrt−36x9s2q2r2t2x−(−36x9s2q2r2t2×12sqrt)−288x8sqrtx−(−288x8sqrt×12sqrt)+360x8s2q2r2t2x−360x8s2q2r2t2×12sqrt−108x8s3q3r3t3x−(−108x8s3q3r3t3×12sqrt)+384x7sqrtx−384x7sqrt×12sqrt−576x7s2q2r2t2x−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
x9×x
Use the product rule an×am=an+m to simplify the expression
x9+1
Add the numbers
x10
48x10sqrt−48x9sqrt×12sqrt−36x9s2q2r2t2x−(−36x9s2q2r2t2×12sqrt)−288x8sqrtx−(−288x8sqrt×12sqrt)+360x8s2q2r2t2x−360x8s2q2r2t2×12sqrt−108x8s3q3r3t3x−(−108x8s3q3r3t3×12sqrt)+384x7sqrtx−384x7sqrt×12sqrt−576x7s2q2r2t2x−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
48x9sqrt×12sqrt
Multiply the numbers
576x9sqrtsqrt
Multiply the terms
576x9s2qrtqrt
Multiply the terms
576x9s2q2rtrt
Multiply the terms
576x9s2q2r2t×t
Multiply the terms
576x9s2q2r2t2
48x10sqrt−576x9s2q2r2t2−36x9s2q2r2t2x−(−36x9s2q2r2t2×12sqrt)−288x8sqrtx−(−288x8sqrt×12sqrt)+360x8s2q2r2t2x−360x8s2q2r2t2×12sqrt−108x8s3q3r3t3x−(−108x8s3q3r3t3×12sqrt)+384x7sqrtx−384x7sqrt×12sqrt−576x7s2q2r2t2x−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
x9×x
Use the product rule an×am=an+m to simplify the expression
x9+1
Add the numbers
x10
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−36x9s2q2r2t2×12sqrt)−288x8sqrtx−(−288x8sqrt×12sqrt)+360x8s2q2r2t2x−360x8s2q2r2t2×12sqrt−108x8s3q3r3t3x−(−108x8s3q3r3t3×12sqrt)+384x7sqrtx−384x7sqrt×12sqrt−576x7s2q2r2t2x−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
−36x9s2q2r2t2×12sqrt
Multiply the numbers
−432x9s2q2r2t2sqrt
Multiply the terms
More Steps

Evaluate
s2×s
Use the product rule an×am=an+m to simplify the expression
s2+1
Add the numbers
s3
−432x9s3q2r2t2qrt
Multiply the terms
More Steps

Evaluate
q2×q
Use the product rule an×am=an+m to simplify the expression
q2+1
Add the numbers
q3
−432x9s3q3r2t2rt
Multiply the terms
More Steps

Evaluate
r2×r
Use the product rule an×am=an+m to simplify the expression
r2+1
Add the numbers
r3
−432x9s3q3r3t2×t
Multiply the terms
More Steps

Evaluate
t2×t
Use the product rule an×am=an+m to simplify the expression
t2+1
Add the numbers
t3
−432x9s3q3r3t3
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−432x9s3q3r3t3)−288x8sqrtx−(−288x8sqrt×12sqrt)+360x8s2q2r2t2x−360x8s2q2r2t2×12sqrt−108x8s3q3r3t3x−(−108x8s3q3r3t3×12sqrt)+384x7sqrtx−384x7sqrt×12sqrt−576x7s2q2r2t2x−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
x8×x
Use the product rule an×am=an+m to simplify the expression
x8+1
Add the numbers
x9
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−432x9s3q3r3t3)−288x9sqrt−(−288x8sqrt×12sqrt)+360x8s2q2r2t2x−360x8s2q2r2t2×12sqrt−108x8s3q3r3t3x−(−108x8s3q3r3t3×12sqrt)+384x7sqrtx−384x7sqrt×12sqrt−576x7s2q2r2t2x−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
−288x8sqrt×12sqrt
Multiply the numbers
−3456x8sqrtsqrt
Multiply the terms
−3456x8s2qrtqrt
Multiply the terms
−3456x8s2q2rtrt
Multiply the terms
−3456x8s2q2r2t×t
Multiply the terms
−3456x8s2q2r2t2
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−432x9s3q3r3t3)−288x9sqrt−(−3456x8s2q2r2t2)+360x8s2q2r2t2x−360x8s2q2r2t2×12sqrt−108x8s3q3r3t3x−(−108x8s3q3r3t3×12sqrt)+384x7sqrtx−384x7sqrt×12sqrt−576x7s2q2r2t2x−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
x8×x
Use the product rule an×am=an+m to simplify the expression
x8+1
Add the numbers
x9
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−432x9s3q3r3t3)−288x9sqrt−(−3456x8s2q2r2t2)+360x9s2q2r2t2−360x8s2q2r2t2×12sqrt−108x8s3q3r3t3x−(−108x8s3q3r3t3×12sqrt)+384x7sqrtx−384x7sqrt×12sqrt−576x7s2q2r2t2x−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
360x8s2q2r2t2×12sqrt
Multiply the numbers
4320x8s2q2r2t2sqrt
Multiply the terms
More Steps

Evaluate
s2×s
Use the product rule an×am=an+m to simplify the expression
s2+1
Add the numbers
s3
4320x8s3q2r2t2qrt
Multiply the terms
More Steps

Evaluate
q2×q
Use the product rule an×am=an+m to simplify the expression
q2+1
Add the numbers
q3
4320x8s3q3r2t2rt
Multiply the terms
More Steps

Evaluate
r2×r
Use the product rule an×am=an+m to simplify the expression
r2+1
Add the numbers
r3
4320x8s3q3r3t2×t
Multiply the terms
More Steps

Evaluate
t2×t
Use the product rule an×am=an+m to simplify the expression
t2+1
Add the numbers
t3
4320x8s3q3r3t3
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−432x9s3q3r3t3)−288x9sqrt−(−3456x8s2q2r2t2)+360x9s2q2r2t2−4320x8s3q3r3t3−108x8s3q3r3t3x−(−108x8s3q3r3t3×12sqrt)+384x7sqrtx−384x7sqrt×12sqrt−576x7s2q2r2t2x−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
x8×x
Use the product rule an×am=an+m to simplify the expression
x8+1
Add the numbers
x9
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−432x9s3q3r3t3)−288x9sqrt−(−3456x8s2q2r2t2)+360x9s2q2r2t2−4320x8s3q3r3t3−108x9s3q3r3t3−(−108x8s3q3r3t3×12sqrt)+384x7sqrtx−384x7sqrt×12sqrt−576x7s2q2r2t2x−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
−108x8s3q3r3t3×12sqrt
Multiply the numbers
−1296x8s3q3r3t3sqrt
Multiply the terms
More Steps

Evaluate
s3×s
Use the product rule an×am=an+m to simplify the expression
s3+1
Add the numbers
s4
−1296x8s4q3r3t3qrt
Multiply the terms
More Steps

Evaluate
q3×q
Use the product rule an×am=an+m to simplify the expression
q3+1
Add the numbers
q4
−1296x8s4q4r3t3rt
Multiply the terms
More Steps

Evaluate
r3×r
Use the product rule an×am=an+m to simplify the expression
r3+1
Add the numbers
r4
−1296x8s4q4r4t3×t
Multiply the terms
More Steps

Evaluate
t3×t
Use the product rule an×am=an+m to simplify the expression
t3+1
Add the numbers
t4
−1296x8s4q4r4t4
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−432x9s3q3r3t3)−288x9sqrt−(−3456x8s2q2r2t2)+360x9s2q2r2t2−4320x8s3q3r3t3−108x9s3q3r3t3−(−1296x8s4q4r4t4)+384x7sqrtx−384x7sqrt×12sqrt−576x7s2q2r2t2x−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
x7×x
Use the product rule an×am=an+m to simplify the expression
x7+1
Add the numbers
x8
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−432x9s3q3r3t3)−288x9sqrt−(−3456x8s2q2r2t2)+360x9s2q2r2t2−4320x8s3q3r3t3−108x9s3q3r3t3−(−1296x8s4q4r4t4)+384x8sqrt−384x7sqrt×12sqrt−576x7s2q2r2t2x−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
384x7sqrt×12sqrt
Multiply the numbers
4608x7sqrtsqrt
Multiply the terms
4608x7s2qrtqrt
Multiply the terms
4608x7s2q2rtrt
Multiply the terms
4608x7s2q2r2t×t
Multiply the terms
4608x7s2q2r2t2
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−432x9s3q3r3t3)−288x9sqrt−(−3456x8s2q2r2t2)+360x9s2q2r2t2−4320x8s3q3r3t3−108x9s3q3r3t3−(−1296x8s4q4r4t4)+384x8sqrt−4608x7s2q2r2t2−576x7s2q2r2t2x−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
x7×x
Use the product rule an×am=an+m to simplify the expression
x7+1
Add the numbers
x8
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−432x9s3q3r3t3)−288x9sqrt−(−3456x8s2q2r2t2)+360x9s2q2r2t2−4320x8s3q3r3t3−108x9s3q3r3t3−(−1296x8s4q4r4t4)+384x8sqrt−4608x7s2q2r2t2−576x8s2q2r2t2−(−576x7s2q2r2t2×12sqrt)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
−576x7s2q2r2t2×12sqrt
Multiply the numbers
−6912x7s2q2r2t2sqrt
Multiply the terms
More Steps

Evaluate
s2×s
Use the product rule an×am=an+m to simplify the expression
s2+1
Add the numbers
s3
−6912x7s3q2r2t2qrt
Multiply the terms
More Steps

Evaluate
q2×q
Use the product rule an×am=an+m to simplify the expression
q2+1
Add the numbers
q3
−6912x7s3q3r2t2rt
Multiply the terms
More Steps

Evaluate
r2×r
Use the product rule an×am=an+m to simplify the expression
r2+1
Add the numbers
r3
−6912x7s3q3r3t2×t
Multiply the terms
More Steps

Evaluate
t2×t
Use the product rule an×am=an+m to simplify the expression
t2+1
Add the numbers
t3
−6912x7s3q3r3t3
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−432x9s3q3r3t3)−288x9sqrt−(−3456x8s2q2r2t2)+360x9s2q2r2t2−4320x8s3q3r3t3−108x9s3q3r3t3−(−1296x8s4q4r4t4)+384x8sqrt−4608x7s2q2r2t2−576x8s2q2r2t2−(−6912x7s3q3r3t3)+216x7s3q3r3t3x−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
x7×x
Use the product rule an×am=an+m to simplify the expression
x7+1
Add the numbers
x8
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−432x9s3q3r3t3)−288x9sqrt−(−3456x8s2q2r2t2)+360x9s2q2r2t2−4320x8s3q3r3t3−108x9s3q3r3t3−(−1296x8s4q4r4t4)+384x8sqrt−4608x7s2q2r2t2−576x8s2q2r2t2−(−6912x7s3q3r3t3)+216x8s3q3r3t3−216x7s3q3r3t3×12sqrt
Multiply the terms
More Steps

Evaluate
216x7s3q3r3t3×12sqrt
Multiply the numbers
2592x7s3q3r3t3sqrt
Multiply the terms
More Steps

Evaluate
s3×s
Use the product rule an×am=an+m to simplify the expression
s3+1
Add the numbers
s4
2592x7s4q3r3t3qrt
Multiply the terms
More Steps

Evaluate
q3×q
Use the product rule an×am=an+m to simplify the expression
q3+1
Add the numbers
q4
2592x7s4q4r3t3rt
Multiply the terms
More Steps

Evaluate
r3×r
Use the product rule an×am=an+m to simplify the expression
r3+1
Add the numbers
r4
2592x7s4q4r4t3×t
Multiply the terms
More Steps

Evaluate
t3×t
Use the product rule an×am=an+m to simplify the expression
t3+1
Add the numbers
t4
2592x7s4q4r4t4
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2−(−432x9s3q3r3t3)−288x9sqrt−(−3456x8s2q2r2t2)+360x9s2q2r2t2−4320x8s3q3r3t3−108x9s3q3r3t3−(−1296x8s4q4r4t4)+384x8sqrt−4608x7s2q2r2t2−576x8s2q2r2t2−(−6912x7s3q3r3t3)+216x8s3q3r3t3−2592x7s4q4r4t4
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
48x10sqrt−576x9s2q2r2t2−36x10s2q2r2t2+432x9s3q3r3t3−288x9sqrt+3456x8s2q2r2t2+360x9s2q2r2t2−4320x8s3q3r3t3−108x9s3q3r3t3+1296x8s4q4r4t4+384x8sqrt−4608x7s2q2r2t2−576x8s2q2r2t2+6912x7s3q3r3t3+216x8s3q3r3t3−2592x7s4q4r4t4
Add the terms
More Steps

Evaluate
−576x9s2q2r2t2+360x9s2q2r2t2
Collect like terms by calculating the sum or difference of their coefficients
(−576+360)x9s2q2r2t2
Add the numbers
−216x9s2q2r2t2
48x10sqrt−216x9s2q2r2t2−36x10s2q2r2t2+432x9s3q3r3t3−288x9sqrt+3456x8s2q2r2t2−4320x8s3q3r3t3−108x9s3q3r3t3+1296x8s4q4r4t4+384x8sqrt−4608x7s2q2r2t2−576x8s2q2r2t2+6912x7s3q3r3t3+216x8s3q3r3t3−2592x7s4q4r4t4
Subtract the terms
More Steps

Evaluate
432x9s3q3r3t3−108x9s3q3r3t3
Collect like terms by calculating the sum or difference of their coefficients
(432−108)x9s3q3r3t3
Subtract the numbers
324x9s3q3r3t3
48x10sqrt−216x9s2q2r2t2−36x10s2q2r2t2+324x9s3q3r3t3−288x9sqrt+3456x8s2q2r2t2−4320x8s3q3r3t3+1296x8s4q4r4t4+384x8sqrt−4608x7s2q2r2t2−576x8s2q2r2t2+6912x7s3q3r3t3+216x8s3q3r3t3−2592x7s4q4r4t4
Subtract the terms
More Steps

Evaluate
3456x8s2q2r2t2−576x8s2q2r2t2
Collect like terms by calculating the sum or difference of their coefficients
(3456−576)x8s2q2r2t2
Subtract the numbers
2880x8s2q2r2t2
48x10sqrt−216x9s2q2r2t2−36x10s2q2r2t2+324x9s3q3r3t3−288x9sqrt+2880x8s2q2r2t2−4320x8s3q3r3t3+1296x8s4q4r4t4+384x8sqrt−4608x7s2q2r2t2+6912x7s3q3r3t3+216x8s3q3r3t3−2592x7s4q4r4t4
Solution
More Steps

Evaluate
−4320x8s3q3r3t3+216x8s3q3r3t3
Collect like terms by calculating the sum or difference of their coefficients
(−4320+216)x8s3q3r3t3
Add the numbers
−4104x8s3q3r3t3
48x10sqrt−216x9s2q2r2t2−36x10s2q2r2t2+324x9s3q3r3t3−288x9sqrt+2880x8s2q2r2t2−4104x8s3q3r3t3+1296x8s4q4r4t4+384x8sqrt−4608x7s2q2r2t2+6912x7s3q3r3t3−2592x7s4q4r4t4
Show Solution
