document.write( "Question 32440: I have another problem that I need some help. My first response was extremely helpful.\r
\n" ); document.write( "\n" ); document.write( "Here's my problem:
\n" ); document.write( "(x^2-3x+1)^2 - (x^2+5x+1)^2
\n" ); document.write( "What we have so far is: (x^2-3x+1)^2 = x^4-6x^3+11x^2-6x+1.
\n" ); document.write( "Confused about how to handle the subtraction sign for the following expression. Should it be distributed out throughout the problem? Thanks very much for your help!
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Algebra.Com's Answer #18933 by mukhopadhyay(490)\"\" \"About 
You can put this solution on YOUR website!
Using the property a^2 - b^2 = (a+b)(a-b),
\n" ); document.write( "(x^2-3x+1)^2 - (x^2+5x+1)^2
\n" ); document.write( "= [x^2-3x+1)+(x^2+5x+1)][(x^2-3x+1)-(x^2+5x+1)]
\n" ); document.write( "= (2x^2+2x+2)(-8x)
\n" ); document.write( "= -16x(x^2+x+2)
\n" ); document.write( "= -16x^3-16x^2-32x\r
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