Question
Simplify the expression
y2x2−2y3x+y4
Evaluate
(x−y×1)2y2
Any expression multiplied by 1 remains the same
(x−y)2y2
Use the commutative property to reorder the terms
y2(x−y)2
Use (a−b)2=a2−2ab+b2 to expand the expression
y2(x2−2xy+y2)
Apply the distributive property
y2x2−y2×2xy+y2×y2
Multiply the terms
More Steps

Evaluate
y2×2xy
Use the commutative property to reorder the terms
2y2xy
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
2y3x
y2x2−2y3x+y2×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
y2x2−2y3x+y4
Show Solution
