document.write( "Question 111659: Simplify the rational expression:\r
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document.write( "x2 – 3x – 10/ x2 – x – 20
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Algebra.Com's Answer #81454 by BrittanyM(80)![]() ![]() ![]() You can put this solution on YOUR website! Out first step to simplify this equation is to factor out both the numorator and denomonator.\r \n" ); document.write( "\n" ); document.write( "From x^2 - 3x - 10 \n" ); document.write( "We can factor (x + 3)(x - 5)\r \n" ); document.write( "\n" ); document.write( "And from x^2 - x - 20 \n" ); document.write( "We can factor (x + 4)(x - 5)\r \n" ); document.write( "\n" ); document.write( "Now, we have to look for factors which are shared by both the numorator and the denomonator. Then, we may cancel them out.\r \n" ); document.write( "\n" ); document.write( "(x - 5) is a common factor, so we may cross it out of both the top and bottom. Since the rest is not common and thus cannoth be factored out, we leave them,\r \n" ); document.write( "\n" ); document.write( "Out final answer is (x + 3)/(x + 4) \n" ); document.write( " |