document.write( "Question 349153: Say to factor the polynomial\r
\n" ); document.write( "\n" ); document.write( "y(x^7+5)+5(x^7+5)\r
\n" ); document.write( "\n" ); document.write( "I keep getting yx^7+5y+5x^7+25 which is incorrect \n" ); document.write( "
Algebra.Com's Answer #249589 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
You are multiplying, not factoring. This is why your answer is not correct. Factoring is \"un-multiplying\". In other words, factoring an expression is rewriting it as a product of two or more factors.

\n" ); document.write( "The short way to factor your expression takes advantage of the fact that the first half of your expression and the second half of your expression have a common factor (shown in red below):
\n" ); document.write( "\"y%2Ared%28%28x%5E7%2B5%29%29%2B5%2Ared%28%28x%5E7%2B5%29%29\"
\n" ); document.write( "Common factors can be factored out. (This is using the Distributive Property in reverse.)
\n" ); document.write( "\"red%28%28x%5E7%2B5%29%29%2A%28y%2B5%29\"
\n" ); document.write( "This is the factored form of your original expression. The entire expression is now a product of two expressions.

\n" ); document.write( "(Look at using the Distributive property on the answer, multiplying the expression in red with both terms of (y+5). Won't you end up with what you started with?).
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