Question
Simplify the expression
8x11y3−16x10y4
Evaluate
(x2−2xy)(x2×2xy)(x2×2xy)2
Remove the parentheses
(x2−2xy)x2×2xy(x2×2xy)2
Multiply
More Steps

Multiply the terms
x2×2xy
Multiply the terms with the same base by adding their exponents
x2+1×2y
Add the numbers
x3×2y
Use the commutative property to reorder the terms
2x3y
(x2−2xy)x2×2xy(2x3y)2
Multiply the terms with the same base by adding their exponents
(x2−2xy)x2+1×2y(2x3y)2
Add the numbers
(x2−2xy)x3×2y(2x3y)2
Multiply the terms
More Steps

Evaluate
x3×2y(2x3y)2
Use the commutative property to reorder the terms
2x3y(2x3y)2
Rewrite the expression
2x3y×4x6y2
Multiply the numbers
8x3yx6y2
Multiply the terms
More Steps

Evaluate
x3×x6
Use the product rule an×am=an+m to simplify the expression
x3+6
Add the numbers
x9
8x9y×y2
Multiply the terms
More Steps

Evaluate
y×y2
Use the product rule an×am=an+m to simplify the expression
y1+2
Add the numbers
y3
8x9y3
(x2−2xy)×8x9y3
Multiply the terms
8x9y3(x2−2xy)
Apply the distributive property
8x9y3x2−8x9y3×2xy
Multiply the terms
More Steps

Evaluate
x9×x2
Use the product rule an×am=an+m to simplify the expression
x9+2
Add the numbers
x11
8x11y3−8x9y3×2xy
Solution
More Steps

Evaluate
8x9y3×2xy
Multiply the numbers
16x9y3xy
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
16x10y3×y
Multiply the terms
More Steps

Evaluate
y3×y
Use the product rule an×am=an+m to simplify the expression
y3+1
Add the numbers
y4
16x10y4
8x11y3−16x10y4
Show Solution

Factor the expression
8x10y3(x−2y)
Evaluate
(x2−2xy)(x2×2xy)(x2×2xy)2
Remove the parentheses
(x2−2xy)x2×2xy(x2×2xy)2
Multiply
More Steps

Multiply the terms
x2×2xy
Multiply the terms with the same base by adding their exponents
x2+1×2y
Add the numbers
x3×2y
Use the commutative property to reorder the terms
2x3y
(x2−2xy)x2×2xy(2x3y)2
Multiply
More Steps

Multiply the terms
x2×2xy
Multiply the terms with the same base by adding their exponents
x2+1×2y
Add the numbers
x3×2y
Use the commutative property to reorder the terms
2x3y
(x2−2xy)×2x3y(2x3y)2
Multiply the terms
More Steps

Evaluate
2x3y(2x3y)2
Rewrite the expression
2x3y×4x6y2
Multiply the numbers
8x3yx6y2
Multiply the terms
More Steps

Evaluate
x3×x6
Use the product rule an×am=an+m to simplify the expression
x3+6
Add the numbers
x9
8x9y×y2
Multiply the terms
More Steps

Evaluate
y×y2
Use the product rule an×am=an+m to simplify the expression
y1+2
Add the numbers
y3
8x9y3
(x2−2xy)×8x9y3
Multiply the terms
8x9y3(x2−2xy)
Factor the expression
More Steps

Evaluate
x2−2xy
Rewrite the expression
x×x−x×2y
Factor out x from the expression
x(x−2y)
8x9y3x(x−2y)
Solution
8x10y3(x−2y)
Show Solution
