document.write( "Question 957361: Hello friends, I have a question about a derivative. I was asked to find the derivative of y = x(2x+1)^4 I came out with 8x(2x+1)^3 +(2x+1)^4 the book is simplifying it to (2x+1)^3(10x+1) How is this possible? thank you in advance friends ! \n" ); document.write( "
Algebra.Com's Answer #585001 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the book is very clever.\r
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\n" ); document.write( "\n" ); document.write( "8x * (2x+1)^3 + (2x+1)^4 is equal to:\r
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\n" ); document.write( "\n" ); document.write( "8x * (2x+1)^3 + (2x+1)^3 * (2x+1)\r
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\n" ); document.write( "\n" ); document.write( "factor out the common term and you get:\r
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\n" ); document.write( "\n" ); document.write( "(2x + 1)^3 * (8x + (2x + 1))\r
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\n" ); document.write( "\n" ); document.write( "combine like terms and you get:\r
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\n" ); document.write( "\n" ); document.write( "(2x + 1)^3 * (10x + 1)\r
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