SOLUTION: I'm lost on this problem, can someone show me the steps? Multiply (a^2+2ab-b^2)(a^2-7ab+b^2)

Question 51881This question is from textbook Beginning Algebra
: I'm lost on this problem, can someone show me the steps?
Multiply (a^2+2ab-b^2)(a^2-7ab+b^2) This question is from textbook Beginning Algebra

Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
For a problem like this, we multiply every term in the first polynomial by every term in the second, thus we should get nine terms when we're done...like this:
(a^2 + 2ab - b^2)(a^2 - 7ab + b^2)=
a^4 - 7a^3b + a^2b^2
+2a^3b - 14a^2b^2 + 2ab^3
-a^2b^2 + 7ab^3 - b^4
Now we combine like terms to get
a^4 - 5a^3b - 14a^2b^2 + 9ab^3 - b^4
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