document.write( "Question 399238: expressions that occur in calculus are given,factor completley each expression\r
\n" ); document.write( "\n" ); document.write( "2(x+3)(x-2)^3+(x+3)^2*3(x-2)^2 i have done most of the homwork having a real hard time on this one \n" ); document.write( "

Algebra.Com's Answer #282733 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!
I can tell that this is used in calculus, since it is an application of the product rule to the function $\"y+=+%28x%2B3%29%5E2%28x-2%29%5E3\"$ and the expression given is equal to $\"dy%2Fdx\"$ ...but you'll learn later how to find the derivative, what a derivative is, and why you don't cancel the d's in $\"dy%2Fdx\"$ :)\r
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\n" ); document.write( "\n" ); document.write( "You can factor out $\"%28x%2B3%29%28x-2%29%5E2\"$ to obtain\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28x%2B3%29%28x-2%29%5E2%29%282%28x-2%29+%2B+3%28x%2B3%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "= $\"%28%28x%2B3%29%28x-2%29%5E2%29%285x+%2B+5%29\"$ \n" ); document.write( "

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