Question
Simplify the expression
x3−x2y3−yx2+y4x
Evaluate
(x−y)(x2−xy×y2)
Multiply
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Evaluate
xy×y2
Multiply the terms with the same base by adding their exponents
xy1+2
Add the numbers
xy3
(x−y)(x2−xy3)
Apply the distributive property
x×x2−x×xy3−yx2−(−yxy3)
Multiply the terms
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Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
x3−x×xy3−yx2−(−yxy3)
Multiply the terms
x3−x2y3−yx2−(−yxy3)
Multiply the terms
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Evaluate
y×y3
Use the product rule an×am=an+m to simplify the expression
y1+3
Add the numbers
y4
x3−x2y3−yx2−(−y4x)
Solution
x3−x2y3−yx2+y4x
Show Solution

Factor the expression
x(x−y)(x−y3)
Evaluate
(x−y)(x2−xy×y2)
Multiply
More Steps

Evaluate
xy×y2
Multiply the terms with the same base by adding their exponents
xy1+2
Add the numbers
xy3
(x−y)(x2−xy3)
Factor the expression
More Steps

Evaluate
x2−xy3
Rewrite the expression
x×x−xy3
Factor out x from the expression
x(x−y3)
(x−y)x(x−y3)
Solution
x(x−y)(x−y3)
Show Solution
