Question
Simplify the expression
144x11−384x8y6
Evaluate
(8x3×2x2)(9x6−6x3y2×4y4)
Remove the parentheses
8x3×2x2(9x6−6x3y2×4y4)
Multiply
More Steps

Multiply the terms
6x3y2×4y4
Multiply the terms
24x3y2×y4
Multiply the terms with the same base by adding their exponents
24x3y2+4
Add the numbers
24x3y6
8x3×2x2(9x6−24x3y6)
Multiply the terms
16x3×x2(9x6−24x3y6)
Multiply the terms with the same base by adding their exponents
16x3+2(9x6−24x3y6)
Add the numbers
16x5(9x6−24x3y6)
Apply the distributive property
16x5×9x6−16x5×24x3y6
Multiply the terms
More Steps

Evaluate
16x5×9x6
Multiply the numbers
144x5×x6
Multiply the terms
More Steps

Evaluate
x5×x6
Use the product rule an×am=an+m to simplify the expression
x5+6
Add the numbers
x11
144x11
144x11−16x5×24x3y6
Solution
More Steps

Evaluate
16x5×24x3y6
Multiply the numbers
384x5×x3y6
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
384x8y6
144x11−384x8y6
Show Solution

Factor the expression
48x8(3x3−8y6)
Evaluate
(8x3×2x2)(9x6−6x3y2×4y4)
Remove the parentheses
8x3×2x2(9x6−6x3y2×4y4)
Multiply
More Steps

Multiply the terms
6x3y2×4y4
Multiply the terms
24x3y2×y4
Multiply the terms with the same base by adding their exponents
24x3y2+4
Add the numbers
24x3y6
8x3×2x2(9x6−24x3y6)
Multiply
More Steps

Multiply the terms
8x3×2x2
Multiply the terms
16x3×x2
Multiply the terms with the same base by adding their exponents
16x3+2
Add the numbers
16x5
16x5(9x6−24x3y6)
Factor the expression
More Steps

Evaluate
9x6−24x3y6
Rewrite the expression
3x3×3x3−3x3×8y6
Factor out 3x3 from the expression
3x3(3x3−8y6)
16x5×3x3(3x3−8y6)
Solution
48x8(3x3−8y6)
Show Solution
