document.write( "Question 261313: m^2+7m+12/m^2-8m+16 + m+3/m^2-16
\n" ); document.write( "=(m+3)(m+4)/(m-4)(m-4)+(m+3)/(m-4)(m-4)
\n" ); document.write( "=(m+3)(m+4)(m+4)/(m-4)(m-4)(m+4)+(m+3)(m-4)/(m-4)(m-4)(m+4)
\n" ); document.write( "=(m+3)((m+4)(m+4)+(m-4)/((m-4)(m-4)(m+4)
\n" ); document.write( "=(m+3)(m^2+8m+16+m-4)/((m-4)(m-4)(m+4)
\n" ); document.write( "=(m+3)(m^2+9m+12)/(m-4)(m-4)(m+4)\r
\n" ); document.write( "\n" ); document.write( "OR\r
\n" ); document.write( "\n" ); document.write( "m^2+7m+12/m^2-8m+16 + m+3/m^2-16
\n" ); document.write( "=(m+3)(m+4)/(m-4)(m-4)+(m+3)/(m-4)(m-4)
\n" ); document.write( "=(m+3)(m+4)(m+4)+(m+3)(m-4)/(m-4)(m-4)(m+4)
\n" ); document.write( "=(m^2+7m+12)(m+4)+(m^2-m-12)/(m-4)(m-4)(m+4)
\n" ); document.write( "=(m^3+7m^2+12m+4m^2+28m+48)+(m^2-m-12)/(m-4)(m-4)(m+4)
\n" ); document.write( "=(m^3+11m^2+40m+48+m^2-m-12)/(m-4)(m-4)(m+4)
\n" ); document.write( "=(m^3+12m^2+39m+36)/(m-4)(m-4)(m+4)
\n" ); document.write( "= m(m^2+12m+39)+36/(m-4)(m-4)(m+4)\r
\n" ); document.write( "\n" ); document.write( "Are any of these correct? If yes, which one is? If not, please show me how to do this correctly. Thank you very much!
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Algebra.Com's Answer #192596 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "These are both correct, except you had a \"%28m-4%29\" \r\n" );
document.write( "where I placed the red \"red%28%28m%2B4%29%29\", but I think that \r\n" );
document.write( "was just a typo, since the rest is correct, and you solved \r\n" );
document.write( "it as though you hadn't made that error. However, there should be\r\n" );
document.write( "one more step at the end:\r\n" );
document.write( "\r\n" );
document.write( "\"%28m%5E2%2B7m%2B12%29%2F%28m%5E2-8m%2B16%29+%2B+%28m%2B3%29%2F%28m%5E2-16%29\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"%22%22=%28%28m%2B3%29%28m%5E2%2B8m%2B16%2Bm-4%29%29%2F%28%28m-4%29%28m-4%29%28m%2B4%29%29\"\r\n" );
document.write( "\"%22%22=%28%28m%2B3%29%28m%5E2%2B9m%2B12%29%29%2F%28%28m-4%29%28m-4%29%28m%2B4%29%29\" \r\n" );
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document.write( "Now you should write \"%28m-4%29%28m-4%29\" as \"%28m-4%29%5E2\":\r\n" );
document.write( "\r\n" );
document.write( "\"%22%22=%28%28m%2B3%29%28m%5E2%2B9m%2B12%29%29%2F%28%28m-4%29%5E2%28m%2B4%29%29\"\r\n" );
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document.write( "Your second one has that same error in the first step, \r\n" );
document.write( "but the rest is right, you just multiplied out the top, \r\n" );
document.write( "wheareas you didn't the first way.  Both answers are\r\n" );
document.write( "equivalent:\r\n" );
document.write( "\r\n" );
document.write( "\"%28m%5E2%2B7m%2B12%29%2F%28m%5E2-8m%2B16%29+%2B+%28m%2B3%29%2F%28m%5E2-16%29\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"%22%22=%28m%5E3%2B11m%5E2%2B40m%2B48%2Bm%5E2-m-12%29%2F%28%28m-4%29%28m-4%29%28m%2B4%29%29\"\r\n" );
document.write( "\"%22%22=%28m%5E3%2B12m%5E2%2B39m%2B36%29%2F%28%28m-4%29%28m-4%29%28m%2B4%29%29\"\r\n" );
document.write( "\"%22%22=cross%28%28m%28m%5E2%2B12m%2B39%29%2B36%29%2F%28%28m-4%29%28m-4%29%28m%2B4%29%29%29\"\r\n" );
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document.write( "Now there was no point in factoring m out of just the first three\r\n" );
document.write( "terms of that numerator.  It wasn't wrong but it led nowhere. That's \r\n" );
document.write( "why I crosed it out. Your last step should have been just to write\r\n" );
document.write( "the \"%28m-4%29%28m-4%29\" as \"%28m-4%29%5E2\", and leave the answer as\r\n" );
document.write( "\r\n" );
document.write( "\"%22%22=%28m%5E3%2B12m%5E2%2B39m%2B36%29%2F%28%28m-4%29%5E2%28m%2B4%29%29\" \r\n" );
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document.write( "Both your answers are correct.  Good job!\r\n" );
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document.write( "Edwin
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