document.write( "Question 310346: I need help simplifying this equation $\"x%5E2-9\"$ / $\"2x%2B6\"$ \n" ); document.write( "

Algebra.Com's Answer #221896 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
It's not an equation. For it to be an equation, there would have
\n" ); document.write( "to be an = sign somewhere.
\n" ); document.write( "It's called an algebraic expression
\n" ); document.write( " $\"%28x%5E2+-+9%29%2F%282x+%2B+6%29\"$
\n" ); document.write( "First, factor out $\"2\"$ from the denominator
\n" ); document.write( " $\"%28x%5E2+-+9%29%2F%282%2A%28x+%2B+3%29%29\"$
\n" ); document.write( "You can rewrite this as:
\n" ); document.write( " $\"%281%2F2%29%2A%28%28x%5E2+-+9%29%2F%28x+%2B+3%29%29\"$
\n" ); document.write( "Now factor the numerator
\n" ); document.write( " $\"%281%2F2%29%2A%28%28x+%2B+3%29%2A%28x+-+3%29%2F%28x+%2B+3%29%29\"$
\n" ); document.write( " $\"%281%2F2%29%2A%28x+-+3%29\"$
\n" ); document.write( " $\"%28x-3%29%2F2\"$ answer
\n" ); document.write( "------------------
\n" ); document.write( "I can check by choosing any number for $\"x\"$ like
\n" ); document.write( " $\"x+=+11\"$
\n" ); document.write( " $\"%28x%5E2+-+9%29%2F%282x+%2B+6%29\"$
\n" ); document.write( " $\"%2811%5E2+-+9%29%2F%282%2A11+%2B+6%29\"$
\n" ); document.write( " $\"%28121+-+9%29%2F%2822+%2B+6%29\"$
\n" ); document.write( " $\"112%2F28\"$
\n" ); document.write( " $\"4\"$
\n" ); document.write( "and for the answer:
\n" ); document.write( " $\"%28x+-+3%29%2F2\"$
\n" ); document.write( " $\"%2811+-+3%29%2F2\"$
\n" ); document.write( " $\"8%2F2\"$
\n" ); document.write( " $\"4\"$
\n" ); document.write( "OK \n" ); document.write( "

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