document.write( "Question 604723: Hi, I have a question!\r
\n" ); document.write( "\n" ); document.write( "If (x-1)(x^2-4)+2(x-1)(x+2)=(x-1)P, then P=\r
\n" ); document.write( "\n" ); document.write( "(A) x^2-2
\n" ); document.write( "(B) x^2
\n" ); document.write( "(C) x(x+2)
\n" ); document.write( "(D) x^2+2
\n" ); document.write( "(E) (x+2)^2\r
\n" ); document.write( "\n" ); document.write( "I know that the answer is C, but I am confused at a certain step...\r
\n" ); document.write( "\n" ); document.write( "So I got to:
\n" ); document.write( "(x+2)(x-2)+2(x+2)=P\r
\n" ); document.write( "\n" ); document.write( "but how do I go from that to:
\n" ); document.write( "x(x+2)\r
\n" ); document.write( "\n" ); document.write( "Thanks!
\n" ); document.write( "

Algebra.Com's Answer #381357 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
If:
\n" ); document.write( "\"%28x-1%29%28x%5E2-4%29%2B2%28x-1%29%28x%2B2%29+=+%28x-1%29P\" Solve for P: First, factor (x-1) on the left side.
\n" ); document.write( "\"%28x-1%29%28%28x%5E2-4%29%2B2%28x%2B2%29%29+=+%28x-1%29P\" Divide both sides by (x-1)
\n" ); document.write( "\"%28x%5E2-4%29%2B2%28x%2B2%29+=+P\" Simplify.
\n" ); document.write( "\"x%5E2-4%2B2x%2B4+=+P\" and so...
\n" ); document.write( "\"P+=+x%5E2%2B2x\" Factor an x.
\n" ); document.write( "\"P+=+x%28x%2B2%29\"
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