document.write( "Question 207932This question is from textbook algebra 1 an integrated approach
\n" ); document.write( ": simplify your answer. assume that no denominators are 0. show cancelling and factoring.\r
\n" ); document.write( "\n" ); document.write( "y^2-49/z^2+z divided by y+7/ z \n" ); document.write( "
Algebra.Com's Answer #157278 by jsmallt9(3758)\"\" \"About 
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\"%28%28y%5E2-49%29%2F%28z%5E2%2Bz%29%29%2F%28%28y%2B7%29%2Fz%29\"
\n" ); document.write( "First we'll start by changing the division into multiplication by the reciprocal:
\n" ); document.write( "\"%28%28y%5E2-49%29%2F%28z%5E2%2Bz%29%29%2A%28z%2F%28y%2B7%29%29\"
\n" ); document.write( "Next we will factor each numerator and each denominator. We do this now before we multiply because it is easier now and because we can cancel (including \"cross-cancel\") common factors before we multiply making the rest of the simplification easier. The first numerator is a difference of squares \"%28a%5E2+-+b%5E2%29\" and the first denominator has a GCF of \"z\":
\n" ); document.write( "\"%28%28%28y%2B7%29%28y-7%29%29%2F%28z%28z%2B1%29%29%29%2A%28z%2F%28y%2B7%29%29\"
\n" ); document.write( "Now we can cancel the common factors:
\n" ); document.write( "
\n" ); document.write( "leaving:
\n" ); document.write( "\"%28y-7%29%2F%28z%2B1%29\"
\n" ); document.write( "This cannot be simplified further so this is the answer. \n" ); document.write( "
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