SOLUTION: I have been struggling with this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreicate it!! Please and Thank You!! Power of Monomi

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Question 130955This question is from textbook Algebra Structure and Method
: I have been struggling with this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreicate it!! Please and Thank You!!
Power of Monomials
find and simplify (a) the sum and (b) the product of the given monomials
p(-pq)^4,p^3(2pq^2)^2 This question is from textbook Algebra Structure and Method

Found 2 solutions by checkley71, stanbon:
Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website!
P(-PQ)^4=P(P^4Q^4)=P^5Q^4
P^3(2PQ)^2=P^3(4P^2Q^2)=4P^5Q^2
P^5Q^4+4P^5Q^2=P^5Q^2(Q^2+4) ANSWER FOR THE ADDITION.
(P^5Q^4)(4P^5Q^2)=4P^10Q^6 ANSWER FOR THE MULTIPLICATION.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Power of Monomials
find and simplify (a) the sum and (b) the product of the given monomials
p(-pq)^4,p^3(2pq^2)^2
---------------
a) Sum:
p(-pq)^4+p^3(2pq^2)^2
p(p^4q^4) + p^3(4p^2q^4)
p^5q^4 + 4p^5q^4
5p^5q^4
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b) Product:
p(-pq)^4,p^3(2pq^2)^2
p(p^4q^4*p^3(4p^2q^4)
p^5q^4*4p^5q^4
4p^10*q^8
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Cheers,
Stan H.