Question
Simplify the expression
p4q2−2p3q3+p2q4
Evaluate
(pq)2(p−q)2
Evaluate the power
p2q2(p−q)2
Evaluate the power
p2q2(p2−2pq+q2)
Apply the distributive property
p2q2p2−p2q2×2pq+p2q2×q2
Multiply the terms
More Steps

Evaluate
p2×p2
Use the product rule an×am=an+m to simplify the expression
p2+2
Add the numbers
p4
p4q2−p2q2×2pq+p2q2×q2
Multiply the terms
More Steps

Evaluate
p2q2×2pq
Use the commutative property to reorder the terms
2p2q2pq
Multiply the terms
More Steps

Evaluate
p2×p
Use the product rule an×am=an+m to simplify the expression
p2+1
Add the numbers
p3
2p3q2×q
Multiply the terms
More Steps

Evaluate
q2×q
Use the product rule an×am=an+m to simplify the expression
q2+1
Add the numbers
q3
2p3q3
p4q2−2p3q3+p2q2×q2
Solution
More Steps

Evaluate
q2×q2
Use the product rule an×am=an+m to simplify the expression
q2+2
Add the numbers
q4
p4q2−2p3q3+p2q4
Show Solution
