document.write( "Question 65829: Add. Express your answer in simplest form. Must show the algebraic steps to solve for x in order to get credit. \r
\n" ); document.write( "\n" ); document.write( "4x/x^2+18x+72 + 4/x+6 = ?????\r
\n" ); document.write( "\n" ); document.write( "I have come up with 2/x+3, but I am not sure if I need to do more with the answer to solve for x??? Would I have to do something like:\r
\n" ); document.write( "\n" ); document.write( "2/x+3 = 0. If so, I think I am stuck on this one!!! If anyone has the time, I sure would appreciate a little help with this problem. Thanks.
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Algebra.Com's Answer #46576 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
4x/x^2+18x+72 + 4/x+6
\n" ); document.write( "The lcd is (x+6)(x+12)
\n" ); document.write( "Rewrite each fraction with the lcd as its denominator, as follows:
\n" ); document.write( "=[4x/lcd]+[4(x+12)/lcd]
\n" ); document.write( "Combine the numerators and write over the lcd, as follows:
\n" ); document.write( "=[4x+4(x+12)]/lcd
\n" ); document.write( "Simplify the numerator, as follows:
\n" ); document.write( "=[8x+48]/lcd
\n" ); document.write( "Factor the numerator:
\n" ); document.write( "=[8(x+6)]/[(x+6)(x+12)]
\n" ); document.write( "Cancel the common factor (x+6) to get:
\n" ); document.write( "=8/(x+12)
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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