Question
Simplify the expression
−ix4+14ix3−48ix2
Evaluate
(x×1)(x−8)(x−6)(x(−i))
Remove the parentheses
x×1×(x−8)(x−6)x(−i)
Rewrite the expression
x(x−8)(x−6)x(−i)
Rewrite the expression
−x(x−8)(x−6)xi
Multiply the terms
−x2(x−8)(x−6)i
Use the commutative property to reorder the terms
−ix2(x−8)(x−6)
Multiply the terms
More Steps

Evaluate
−ix2(x−8)
Apply the distributive property
−ix2×x−(−ix2×8)
Multiply the terms
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
−ix3−(−ix2×8)
Multiply the numbers
−ix3−(−8ix2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−ix3+8ix2
(−ix3+8ix2)(x−6)
Apply the distributive property
−ix3×x−(−ix3×6)+8ix2×x−8ix2×6
Multiply the terms
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
−ix4−(−ix3×6)+8ix2×x−8ix2×6
Multiply the numbers
−ix4−(−6ix3)+8ix2×x−8ix2×6
Multiply the terms
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
−ix4−(−6ix3)+8ix3−8ix2×6
Multiply the numbers
−ix4−(−6ix3)+8ix3−48ix2
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−ix4+6ix3+8ix3−48ix2
Solution
More Steps

Evaluate
6ix3+8ix3
Collect like terms by calculating the sum or difference of their coefficients
(6i+8i)x3
Add the numbers
More Steps

Evaluate
6i+8i
Collect like terms
(6+8)i
Calculate
14i
14ix3
−ix4+14ix3−48ix2
Show Solution
