Question
Simplify the expression
y4b2−2y3b3+y2b4
Evaluate
(yb)2(y−b)2
Evaluate the power
y2b2(y−b)2
Evaluate the power
y2b2(y2−2yb+b2)
Apply the distributive property
y2b2y2−y2b2×2yb+y2b2×b2
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
y4b2−y2b2×2yb+y2b2×b2
Multiply the terms
More Steps

Evaluate
y2b2×2yb
Use the commutative property to reorder the terms
2y2b2yb
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
2y3b2×b
Multiply the terms
More Steps

Evaluate
b2×b
Use the product rule an×am=an+m to simplify the expression
b2+1
Add the numbers
b3
2y3b3
y4b2−2y3b3+y2b2×b2
Solution
More Steps

Evaluate
b2×b2
Use the product rule an×am=an+m to simplify the expression
b2+2
Add the numbers
b4
y4b2−2y3b3+y2b4
Show Solution
