Question
Simplify the expression
2p3−2q2p2−4q3p−2q4
Evaluate
2p3−q2×2(p+q)2
Use the commutative property to reorder the terms
2p3−2q2(p+q)2
Solution
More Steps

Calculate
−2q2(p+q)2
Simplify
−2q2(p2+2pq+q2)
Apply the distributive property
−2q2p2−2q2×2pq−2q2×q2
Multiply the terms
More Steps

Evaluate
−2q2×2pq
Multiply the numbers
−4q2pq
Multiply the terms
−4q3p
−2q2p2−4q3p−2q2×q2
Multiply the terms
More Steps

Evaluate
q2×q2
Use the product rule an×am=an+m to simplify the expression
q2+2
Add the numbers
q4
−2q2p2−4q3p−2q4
2p3−2q2p2−4q3p−2q4
Show Solution

Factor the expression
−2(−p3+q2p2+2q3p+q4)
Evaluate
2p3−q2×2(p+q)2
Use the commutative property to reorder the terms
2p3−2q2(p+q)2
Simplify
More Steps

Evaluate
−2q2(p+q)2
Use (a+b)2=a2+2ab+b2 to expand the expression
−2q2(p2+2pq+q2)
Apply the distributive property
−2q2p2−2q2×2pq−2q2×q2
Multiply the terms
More Steps

Evaluate
−2q2×2pq
Multiply the numbers
−4q2pq
Multiply the terms
−4q3p
−2q2p2−4q3p−2q2×q2
Multiply the terms
More Steps

Evaluate
q2×q2
Use the product rule an×am=an+m to simplify the expression
q2+2
Add the numbers
q4
−2q2p2−4q3p−2q4
2p3−2q2p2−4q3p−2q4
Solution
−2(−p3+q2p2+2q3p+q4)
Show Solution
