# Simplify (2m-4)(m^2+2m+4) (2m-4)(m2+2m+4)
Expand (2m-4)(m2+2m+4) by multiplying each term in the first expression by each term in the second expression.
2m⋅m2+2m(2m)+2m⋅4-4m2-4(2m)-4⋅4
Simplify terms.
Simplify each term.
Multiply m by m2 by adding the exponents.
Move m2.
2(m2m)+2m(2m)+2m⋅4-4m2-4(2m)-4⋅4
Multiply m2 by m.
Raise m to the power of 1.
2(m2m1)+2m(2m)+2m⋅4-4m2-4(2m)-4⋅4
Use the power rule aman=am+n to combine exponents.
2m2+1+2m(2m)+2m⋅4-4m2-4(2m)-4⋅4
2m2+1+2m(2m)+2m⋅4-4m2-4(2m)-4⋅4
Add 2 and 1.
2m3+2m(2m)+2m⋅4-4m2-4(2m)-4⋅4
2m3+2m(2m)+2m⋅4-4m2-4(2m)-4⋅4
Multiply m by m.
2m3+2⋅2m2+2m⋅4-4m2-4(2m)-4⋅4
Multiply 2 by 2.
2m3+4m2+2m⋅4-4m2-4(2m)-4⋅4
Multiply 4 by 2.
2m3+4m2+8m-4m2-4(2m)-4⋅4
Multiply 2 by -4.
2m3+4m2+8m-4m2-8m-4⋅4
Multiply -4 by 4.
2m3+4m2+8m-4m2-8m-16
2m3+4m2+8m-4m2-8m-16
Combine the opposite terms in 2m3+4m2+8m-4m2-8m-16.
Subtract 4m2 from 4m2.
2m3+8m+0-8m-16
Add 2m3+8m and 0.
2m3+8m-8m-16
Subtract 8m from 8m.
2m3+0-16
Add 2m3 and 0.
2m3-16
2m3-16
2m3-16
Simplify (2m-4)(m^2+2m+4)

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