document.write( "Question 119909: I have been asked to factor this and not sure exactly what I am to do. Please show me the way to factor this 6m - 6n - 60 = ?
\n" ); document.write( "Thanks so much for the help. \n" ); document.write( "

Algebra.Com's Answer #87882 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Factor:
\n" ); document.write( " $\"6m+-+6n+-+60\"$ Look for a common factor in each of the three terms. You can rewrite this expression showing the prime factors of each term
\n" ); document.write( " $\"highlight%282%2A3%29%2Am+-+highlight%282%2A3%29%2An+-+2%2Ahighlight%282%2A3%29%2A5\"$ Notice that 2*3 appears in each of the three terms, so 2*3 is a common factor.
\n" ); document.write( " $\"highlight%282%2A3%29%2Am+-+highlight%282%2A3%29%2An+-+highlight%282%2A3%29%2A10\"$ so the 2*3 can be taken outside the parentheses, thus:
\n" ); document.write( " $\"highlight%282%2A3%29%28m+-+n+-+10%29\"$ but since the 2*3 = 6, so you can replace it.
\n" ); document.write( " $\"highlight%286%29%28m+-+n+-+10%29\"$ this is then factored.
\n" ); document.write( "To check the answer, you would apply the \"distributive property\":
\n" ); document.write( " $\"6%28m+-+n+-+10%29+=+6%2Am+-+6%2An+-+6%2A10\"$ = $\"6m-6n-60\"$ \n" ); document.write( "

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