SOLUTION: How would you express this polynomial? 3xy^2(r + 3s) -6y^2(r + 3s) Also what if it was setup like this, with -6xy^2, instead of -6y^2? 3xy^2(r + 3s) -6xy^2(r + 3s) Thank Yo

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How would you express this polynomial? 3xy^2(r + 3s) -6y^2(r + 3s) Also what if it was setup like this, with -6xy^2, instead of -6y^2? 3xy^2(r + 3s) -6xy^2(r + 3s) Thank Yo      Log On


   

Question 6174: How would you express this polynomial?
3xy^2(r + 3s) -6y^2(r + 3s)
Also what if it was setup like this, with -6xy^2, instead of -6y^2?
3xy^2(r + 3s) -6xy^2(r + 3s)
Thank You
TSJ
Answer by guapa(62) About Me  (Show Source):
You can put this solution on YOUR website!
3xy%5E2%28r%2B3s%29-6y%5E2%28r%2B3s%29
Use the distributive property a%28b%2Bc%29=ab%2Bac and you get:
3xy%5E2r%2B9xy%5E2s-6y%5E2r-18y%5E2s since there are no like terms to combine this is your final answer.
When using -6xy%5E2 we come up with the follwing answer:
3xy%5E2%28r%2B3s%29-6xy%5E2%28r%2B3s%29 use distributive property
3xy%5E2r%2B9xy%5E2s-6xy%5E2r-18xy%5E2s Combine like terms and you get
-3xy%5E2r-12xy%5E2s which is your final answer
Hope it helps