document.write( "Question 61962: Please help with factoring the polynomial 4a^2+4ab+b^2-9 \n" ); document.write( "

Algebra.Com's Answer #42696 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
Factor the polynomial
\n" ); document.write( "This is a little tricky, notice that the first three terms are a perfect square trinomial $\"u%5E2%2B2uv%2Bv%5E2=%28u%2Bv%29%5E2\"$
\n" ); document.write( " $\"4a%5E2%2B4ab%2Bb%5E2-9\"$
\n" ); document.write( " $\"%282a%29%5E2%2B2%282a%29%28b%29%2B%28b%29%5E2-9\"$ See what I mean, u=2a, v=b.
\n" ); document.write( " $\"%282a%2Bb%29%5E2-9\"$ Now you have the difference of squares: $\"u%5E2-v%5E2=%28u%2Bv%29%28u-v%29\"$
\n" ); document.write( " $\"%282a%2Bb%29%5E2-%283%29%5E2\"$ u=2a+b, v=3
\n" ); document.write( " $\"%28%282a%2Bb%29%2B3%29%28%282a%2Bb%29-3%29\"$
\n" ); document.write( " $\"highlight%28%282a%2Bb%2B3%29%282a%2Bb-3%29%29\"$
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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