document.write( "Question 93252: Simplify completely: ( x + 7 )/( x - 7 ) divided by (x2 - 49 )/( 7 - x ) \n" ); document.write( "

Algebra.Com's Answer #67930 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Simplify completely: ( x + 7 )/( x - 7 ) divided by (x2 - 49 )/( 7 - x )
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\n" ); document.write( " $\"%28%28x%2B7%29%29%2F%28%28x-7%29%29\"$
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\n" ); document.write( " $\"%28%28x%5E2-49%29%29%2F%28%287-x%29%29\"$
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\n" ); document.write( "We can rewrite (7-x) to -1(x-7) and factor (x^2-49), (difference of squares)
\n" ); document.write( " $\"%28%28x%2B7%29%29%2F%28%28x-7%29%29\"$
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\n" ); document.write( " $\"%28%28x-7%29%28x%2B7%29%29%2F%28-1%28x-7%29%29\"$
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\n" ); document.write( "Cancel out the (x-7)'s in the dividing fraction
\n" ); document.write( " $\"%28%28x%2B7%29%29%2F%28%28x-7%29%29\"$
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\n" ); document.write( " $\"%28%28x%2B7%29%29%2F%28-1%29\"$
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\n" ); document.write( "Invert the dividing fraction and multiply
\n" ); document.write( " $\"%28%28x%2B7%29%29%2F%28%28x-7%29%29\"$ * - $\"1%2F%28%28x%2B7%29%29\"$ = - $\"1%2F%28%28x-7%29%29\"$ ; canceled (x+7)'s
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\n" ); document.write( "How about this, did it make sense to you?\r
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