document.write( "Question 71871: Need help with soving the following prime factorization problem:
\n" ); document.write( "Not sure of the steps.
\n" ); document.write( "1.)9t^2+36t\r
\n" ); document.write( "\n" ); document.write( "2.)14zx-18xz^2\r
\n" ); document.write( "\n" ); document.write( "Thanks \n" ); document.write( "

Algebra.Com's Answer #51362 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
1) Factor:
\n" ); document.write( " $\"9t%5E2%2B36t\"$ What are the factors of each term?
\n" ); document.write( " $\"9t%5E2+=+%283%29%283%29%28t%29%28t%29\"$ and $\"36t+=+%282%29%282%29%283%29%283%29%28t%29\"$
\n" ); document.write( " $\"%283%29%283%29%28t%29%28t%29+%2B+%282%29%282%29%283%29%283%29%28t%29\"$ Find the common factors and take them outside of the parentheses.
\n" ); document.write( " $\"%283%29%283%29%28t%29%2A%28t%2B2%2A2%29\"$ Now simplify this.
\n" ); document.write( " $\"9t%28t%2B4%29\"$
\n" ); document.write( "2) Factor:
\n" ); document.write( " $\"14zx-18xz%5E2\"$ Factor each term.
\n" ); document.write( " $\"%282%29%287%29%28z%29%28x%29+-+%282%29%283%29%283%29%28x%29%28z%29%28z%29\"$ Take out the common factors from each term.
\n" ); document.write( " $\"%282%29%28x%29%28z%29%287-9z%29\"$ Simplify.
\n" ); document.write( " $\"2xz%287-9z%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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