SOLUTION: Looking for help to see if I got this right. Multiply: (m^2+n^2-mn)(m^2+mn+n^2)= m^4+m^2n^2+n^4 thank you for your help!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Looking for help to see if I got this right. Multiply: (m^2+n^2-mn)(m^2+mn+n^2)= m^4+m^2n^2+n^4 thank you for your help!      Log On


   



Question 34440: Looking for help to see if I got this right.
Multiply:
(m^2+n^2-mn)(m^2+mn+n^2)= m^4+m^2n^2+n^4
thank you for your help!

Found 2 solutions by strawberry, dimndskier:
Answer by strawberry(4) About Me  (Show Source):
You can put this solution on YOUR website!
the answer you get is wrong. It should do like this
m%5E2%2Bn%5E2-mn%29%28m%5E2%2Bmn%2Bn%5E2%29
= m%5E2%28m%5E2%2Bmn%2Bn%5E2%29+%2B+m%5E2%28m%5E2%2Bmn%2Bn%5E2%29-+mn%28m%5E2%2Bmn%2Bn%5E2%29
=
that your answer. Does the problem told you to collect like terms? If so, then the answer should turn to be like this: m%5E4+%2B+n%5E2m%5E2+%2B+n%5E4

Answer by dimndskier(8) About Me  (Show Source):
You can put this solution on YOUR website!
Mr./Ms. Strawberry is correct in their statement about YOUR answer, however there was a mistake in their work as well, not in the final answer, but the work getting to the final answer.

It should do like this, actually (pay attention to terms and exponents to see the actual difference)...
%28m%5E2%2Bn%5E2-mn%29%28m%5E2%2Bmn%2Bn%5E2%29
= m%5E2%28m%5E2%2Bmn%2Bn%5E2%29+%2Bn%5E2%28m%5E2%2Bmn%2Bn%5E2%29+-mn%28m%5E2%2Bmn%2Bn%5E2%29
=

IF the problem says collect like terms; then the answer should turn out to be like this: m%5E4+%2B+m%5E2n%5E2+%2B+n%5E4