document.write( "Question 1062280: Please show me how to simplify this expression: (2m-4)(m^2+2m+4).\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "

Algebra.Com's Answer #677135 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
It is a two term expression * a 3 term expression. There will be six terms in the answer
\n" ); document.write( "2m^3+4m^2+8m, are 3 of them, the 2m * (m^2+2m+4)
\n" ); document.write( "-4m^2-8m-16, are the other 3, the -4 *(m^2+2m+4)
\n" ); document.write( "add them
\n" ); document.write( "2m^3-16, combining like terms.
\n" ); document.write( "Check
\n" ); document.write( "2(m^3-8) by factoring out a 2
\n" ); document.write( "m^3-8 is a difference of 2 cubes, so it factors into (m-2)(m^2+2m+4)
\n" ); document.write( "putting the 2 in front of everything, we have 2(m-2)(m^2+2m+4) or (2m-4)(m^2+2m+4)
\n" ); document.write( "
\n" );