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

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Question 130956This 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 appreciate it!! Please and Thank You!!
Power of Monomials
find and simplify (a) the sum and (b) the product of the given monomials
(2x)^3(xy)^2,(2xy)^2(-x)^3

This question is from textbook Algebra Structure and Method

Found 2 solutions by checkley71, emp233:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
the sum:
(2x)^3(xy)^2=(8x^3)(x^2y^2)=8x^5y^2
(2xy)^2(-x)^3=(4x^2y^2)(-x^3)=-4x^5y^2
8x^5y^2
-4x^5y^2 now add.
----------------
4x^5y^2 answer for the sum.
---------------------------------------------------------------
8x^5y^2
-2x^5y^2 now multiply
---------------------------------
-16x^10y^4 answer for the product.

Answer by emp233(1)   (Show Source): You can put this solution on YOUR website!
This is the solution of your problem, first of all solve the powers




Then to solve the sum you just make +
=
And to solve the product you just look at the two resulting monomials
and and just make the multiplication

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