Question
Simplify the expression
1728x9−6720x8−144yx5+560yx4
Evaluate
(3x3×4x−y)(9x2−5x×7)(2x3×8)
Remove the parentheses
(3x3×4x−y)(9x2−5x×7)×2x3×8
Multiply
More Steps

Multiply the terms
3x3×4x
Multiply the terms
12x3×x
Multiply the terms with the same base by adding their exponents
12x3+1
Add the numbers
12x4
(12x4−y)(9x2−5x×7)×2x3×8
Multiply the terms
(12x4−y)(9x2−35x)×2x3×8
Multiply the terms
(12x4−y)(9x2−35x)×16x3
Use the commutative property to reorder the terms
16(12x4−y)(9x2−35x)x3
Multiply the terms
More Steps

Evaluate
16(12x4−y)
Apply the distributive property
16×12x4−16y
Multiply the numbers
192x4−16y
(192x4−16y)(9x2−35x)x3
Multiply the terms
More Steps

Evaluate
(192x4−16y)(9x2−35x)
Apply the distributive property
192x4×9x2−192x4×35x−16y×9x2−(−16y×35x)
Multiply the terms
More Steps

Evaluate
192x4×9x2
Multiply the numbers
1728x4×x2
Multiply the terms
1728x6
1728x6−192x4×35x−16y×9x2−(−16y×35x)
Multiply the terms
More Steps

Evaluate
192x4×35x
Multiply the numbers
6720x4×x
Multiply the terms
6720x5
1728x6−6720x5−16y×9x2−(−16y×35x)
Multiply the numbers
1728x6−6720x5−144yx2−(−16y×35x)
Multiply the numbers
1728x6−6720x5−144yx2−(−560yx)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1728x6−6720x5−144yx2+560yx
(1728x6−6720x5−144yx2+560yx)x3
Apply the distributive property
1728x6×x3−6720x5×x3−144yx2×x3+560yx×x3
Multiply the terms
More Steps

Evaluate
x6×x3
Use the product rule an×am=an+m to simplify the expression
x6+3
Add the numbers
x9
1728x9−6720x5×x3−144yx2×x3+560yx×x3
Multiply the terms
More Steps

Evaluate
x5×x3
Use the product rule an×am=an+m to simplify the expression
x5+3
Add the numbers
x8
1728x9−6720x8−144yx2×x3+560yx×x3
Multiply the terms
More Steps

Evaluate
x2×x3
Use the product rule an×am=an+m to simplify the expression
x2+3
Add the numbers
x5
1728x9−6720x8−144yx5+560yx×x3
Solution
More Steps

Evaluate
x×x3
Use the product rule an×am=an+m to simplify the expression
x1+3
Add the numbers
x4
1728x9−6720x8−144yx5+560yx4
Show Solution

Factor the expression
16x4(12x4−y)(9x−35)
Evaluate
(3x3×4x−y)(9x2−5x×7)(2x3×8)
Remove the parentheses
(3x3×4x−y)(9x2−5x×7)×2x3×8
Multiply
More Steps

Multiply the terms
3x3×4x
Multiply the terms
12x3×x
Multiply the terms with the same base by adding their exponents
12x3+1
Add the numbers
12x4
(12x4−y)(9x2−5x×7)×2x3×8
Multiply the terms
(12x4−y)(9x2−35x)×2x3×8
Multiply the terms
(12x4−y)(9x2−35x)×16x3
Factor the expression
More Steps

Evaluate
9x2−35x
Rewrite the expression
x×9x−x×35
Factor out x from the expression
x(9x−35)
(12x4−y)x(9x−35)×16x3
Solution
16x4(12x4−y)(9x−35)
Show Solution
