document.write( "Question 312255: how do you simplify the rational expression, 3/2-x + 4/x^2-4? \n" ); document.write( "

Algebra.Com's Answer #223252 by fractalier(6550) $\"\"$ $\"About$

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From 3/(2-x) + 4/(x^2-4), let's multiply the first term by -1/-1 and factor the denominator of the second term to get
\n" ); document.write( "-3 / (x-2) + 4 / (x-2)(x+2)
\n" ); document.write( "Now multiply the first term by x+2/x+2 and get
\n" ); document.write( "-3(x+2) / (x-2)(x+2) + 4 / (x-2)(x+2)
\n" ); document.write( "and we get
\n" ); document.write( "(-3x - 2) / (x-2)(x+2) \n" ); document.write( "

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