Question
Simplify the expression
x4y2−2x3y3+x2y4
Evaluate
(xy)2(x−y)2
Evaluate the power
x2y2(x−y)2
Evaluate the power
x2y2(x2−2xy+y2)
Apply the distributive property
x2y2x2−x2y2×2xy+x2y2×y2
Multiply the terms
More Steps

Evaluate
x2×x2
Use the product rule an×am=an+m to simplify the expression
x2+2
Add the numbers
x4
x4y2−x2y2×2xy+x2y2×y2
Multiply the terms
More Steps

Evaluate
x2y2×2xy
Use the commutative property to reorder the terms
2x2y2xy
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
2x3y2×y
Multiply the terms
More Steps

Evaluate
y2×y
Use the product rule an×am=an+m to simplify the expression
y2+1
Add the numbers
y3
2x3y3
x4y2−2x3y3+x2y2×y2
Solution
More Steps

Evaluate
y2×y2
Use the product rule an×am=an+m to simplify the expression
y2+2
Add the numbers
y4
x4y2−2x3y3+x2y4
Show Solution
