document.write( "Question 565671: Factoring Quadratic Expressions--
\n" ); document.write( "Directions; Factor each expression.
\n" ); document.write( "Problem; 9x^2-36+27 \n" ); document.write( "

Algebra.Com's Answer #365913 by Leaf W.(135) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. Add like terms. $\"9x%5E2+-+36+%2B+27+=+9x%5E2+-+9\"$
\n" ); document.write( "2. If possible, pull out a greatest common factor. Since both $\"9x%5E2\"$ and -9 are divisible by 9, pull out that. $\"9x%5E2+-+9+=+9%28x%5E2+-+1%29\"$
\n" ); document.write( "3. Factor $\"x%5E2+-+1\"$ . Notice that $\"x%5E2+-+1\"$ is a difference of perfect squares. Any difference of perfect squares ( $\"a%5E2+-+b%5E2\"$ ) can be factored as $\"%28a+%2B+b%29%28a+-+b%29\"$ . $\"9%28x%5E2+-+1%29+=+9%28x+%2B+1%29%28x+-+1%29\"$
\n" ); document.write( "4. Since 9(x + 1)(x - 1) cannot be factored any further, YOUR ANSWER IS 9(x + 1)(x - 1)
\n" ); document.write( "Hope I helped! =) \n" ); document.write( "

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