document.write( "Question 336981: Hi, my name is Whitney and I have the answer to my math question, I just can't figure out how to get there. Here's the problem:\r
\n" ); document.write( "\n" ); document.write( " $\"%284%29%2F%283-x%29+%2B+%282x%29%2F%28x-3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "I understand that I need to find the least common denominator so I multiply (4)/(3-x) by (x-3)/(x-3) and (2x)/(x-3) by (3-x)/(3-x), after that, I am missing something. I end up with 2(5x-6-x^2)/(3-x)(x-3) and I don't see any way to factor it further. I am clearly wrong since the answer is suppose to be 2(x-2)/(x-3). Any help and explanation of what I'm not getting would be very appreciated. \n" ); document.write( "

Algebra.Com's Answer #241527 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Ok Whitney, here's how you would do this.
\n" ); document.write( " $\"%284%2F%283-x%29%29%2B%282x%2F%28x-3%29%29\"$ Take a look at the denominator in the first fraction.
\n" ); document.write( " $\"3-x%29\"$ let's factor out a -1 from this like so: $\"-1%28-3%2Bx%29\"$
\n" ); document.write( "Now we can switch the -3 and the x on the insides of the parentheses to get: $\"-1%28x-3%29\"$ and, as you probably know, we really don't need the 1 in front of the parentheses so we just write it as: $\"-%28x-3%29\"$ and now we can put it back in the fraction.
\n" ); document.write( " $\"-%284%2F%28x-3%29%29%2B2x%2F%28x-3%29\"$ Now we have our common denominator so we can just add the two numerators together to get:
\n" ); document.write( " $\"%28-4%2B2x%29%2F%28x-3%29\"$ and this can be written like:
\n" ); document.write( " $\"%282x-4%29%2F%28x-3%29\"$ In the numerator, we can factor out a 2 to get:
\n" ); document.write( " $\"highlight%282%28x-2%29%2F%28%28x-3%29%29%29\"$ \n" ); document.write( "

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