document.write( "Question 370906: (2x2 + 3x – 35) ÷ (x + 5) \n" ); document.write( "

Algebra.Com's Answer #264537 by jsmallt9(3758) $\"\"$ $\"About$

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$\"%282x%5E2+%2B+3x+-+35%29%2F%28x+%2B+5%29\"$
\n" ); document.write( "Before we actually try to divide, let's see if this fraction will reduce. Reducing a fraction involves canceling common factors between the numerator and denominator. And to cancel common factors, we need to know what the factors are. So we start by factoring:
\n" ); document.write( " $\"%28%282x-7%29%28x%2B5%29%29%2F%281%2A%28x%2B5%29%29\"$
\n" ); document.write( "We can now see that (x+5) is a factor which is common to the numerator and denominator. We can cancel them:
\n" ); document.write( " $\"%28%282x-7%29cross%28%28x%2B5%29%29%29%2F%281%2Across%28%28x%2B5%29%29%29\"$
\n" ); document.write( "leaving:
\n" ); document.write( " $\"%282x-7%29%2F1\"$
\n" ); document.write( "And dividing by 1 is the easiest division of all! This simplifies to:
\n" ); document.write( "2x-7 \n" ); document.write( "

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