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

Algebra.Com's Answer #34635 by fractalier(6550) $\"\"$ $\"About$

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:
\n" ); document.write( "(a^2 + 2ab - b^2)(a^2 - 7ab + b^2)=
\n" ); document.write( "a^4 - 7a^3b + a^2b^2
\n" ); document.write( "+2a^3b - 14a^2b^2 + 2ab^3
\n" ); document.write( "-a^2b^2 + 7ab^3 - b^4
\n" ); document.write( "Now we combine like terms to get
\n" ); document.write( "a^4 - 5a^3b - 14a^2b^2 + 9ab^3 - b^4 \n" ); document.write( "

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