document.write( "Question 24601: How do you factor an expression when the last constant is more than one number greater than the middle constant? as in 16m(sq)-24mn+9n(sq) \n" ); document.write( "

Algebra.Com's Answer #13100 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can start by trying this:
\n" ); document.write( "Factor:
\n" ); document.write( " $\"16m%5E2+-+24mn+%2B+9n%5E2\"$ Notice that the first term and the last term are perfect squares, so try taking the square root of these as factors:\r
\n" ); document.write( "\n" ); document.write( " $\"%284m+-+3n%29%284m+-+3n%29\"$ Use FOIL to check:\r
\n" ); document.write( "\n" ); document.write( " $\"%284m+-+3n%29%284m+-+3n%29+=+16m%5E2+-+12mn+-+12mn+%2B+9n%5E2\"$ = $\"16m%5E2+-+24mn+%2B+9n%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( "The answer is:
\n" ); document.write( " $\"%284m+-+3n%29%5E2\"$ \n" ); document.write( "

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