Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x4y2−2x3y3+x2y4−2xy
Evaluate
xyxy(x−y)2−2xy
Multiply
More Steps
Multiply the terms
xyxy(x−y)2
Multiply the terms
x2y×y(x−y)2
Multiply the terms
x2y2(x−y)2
x2y2(x−y)2−2xy
Solution
More Steps
Calculate
x2y2(x−y)2
Simplify
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
2x3y2×y
Multiply the terms
2x3y3
x4y2−2x3y3+x2y2×y2
Multiply the terms
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
x4y2−2x3y3+x2y4−2xy
Show Solution
Factor the expression
xy(x3y−2x2y2+xy3−2)
Evaluate
xyxy(x−y)2−2xy
Multiply
More Steps
Evaluate
xyxy(x−y)2
Multiply the terms
x2y×y(x−y)2
Multiply the terms
x2y2(x−y)2
x2y2(x−y)2−2xy
Rewrite the expression
xyxy(x−y)2−xy×2
Factor out xy from the expression
xy(xy(x−y)2−2)
Solution
xy(x3y−2x2y2+xy3−2)
Show Solution