document.write( "Question 1062280: Please show me how to simplify this expression: (2m-4)(m^2+2m+4).\r
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Algebra.Com's Answer #677135 by Boreal(15235)![]() ![]() 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( " |