SOLUTION: Please show me how to simplify this expression: (2m-4)(m^2+2m+4). Thank you

Question 1062280: Please show me how to simplify this expression: (2m-4)(m^2+2m+4).
Thank you
Answer by Boreal(15235) (Show Source): 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
2m^3+4m^2+8m, are 3 of them, the 2m * (m^2+2m+4)
-4m^2-8m-16, are the other 3, the -4 *(m^2+2m+4)
add them
2m^3-16, combining like terms.
Check
2(m^3-8) by factoring out a 2
m^3-8 is a difference of 2 cubes, so it factors into (m-2)(m^2+2m+4)
putting the 2 in front of everything, we have 2(m-2)(m^2+2m+4) or (2m-4)(m^2+2m+4)
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