document.write( "Question 95733: Can someone help me with this question please: Simplify the complex rational expression 3x/x-4 +1 / 15/x^2-16 + 1 \n" ); document.write( "

Algebra.Com's Answer #69800 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Simplify the complex rational expression:
\n" ); document.write( "Assume you mean:
\n" ); document.write( " $\"%283x%29%2F%28%28x-4%29%29+%2B+1\"$
\n" ); document.write( "-------------
\n" ); document.write( " $\"15%2F%28%28x%5E2-16%29%29+%2B+1\"$
\n" ); document.write( ":
\n" ); document.write( "Put upper and lower fractions over single denominators:
\n" ); document.write( " $\"%283x+%2B+%28x-4%29%29%2F%28%28x-4%29%29\"$
\n" ); document.write( "------------- =
\n" ); document.write( " $\"%2815+%2B+%28x%5E2-16%29%29%2F%28%28x%5E2-16%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "Combine like terms:
\n" ); document.write( " $\"%28%284x+-+4%29%29%2F%28%28x-4%29%29\"$
\n" ); document.write( "-------------
\n" ); document.write( " $\"%28%28x%5E2-1%29%29%2F%28%28x%5E2-16%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "Invert the dividing fraction and multiply....then factor.... cancel (x-1), cancel (x-4),:
\n" ); document.write( " $\"%28%284x+-+4%29%29%2F%28%28x-4%29%29\"$ * $\"%28%28x%5E2-16%29%29%2F%28%28x%5E2-1%29%29\"$ = $\"%284%28x+-+1%29%29%2F%28%28x-4%29%29\"$ * $\"%28%28x-4%29%28x%2B4%29%29%2F%28%28x-1%29%28x%2B1%29%29\"$ = $\"%284%28x%2B4%29%29%2F%28%28x%2B1%29%29\"$
\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "

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