Factor 2m^3-16

Math
2m3-16
Factor 2 out of 2m3-16.
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Factor 2 out of 2m3.
2(m3)-16
Factor 2 out of -16.
2m3+2⋅-8
Factor 2 out of 2m3+2⋅-8.
2(m3-8)
2(m3-8)
Rewrite 8 as 23.
2(m3-23)
Since both terms are perfect cubes, factor using the difference of cubes formula, a3-b3=(a-b)(a2+ab+b2) where a=m and b=2.
2((m-2)(m2+m⋅2+22))
Factor.
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Simplify.
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Move 2 to the left of m.
2((m-2)(m2+2m+22))
Raise 2 to the power of 2.
2((m-2)(m2+2m+4))
2((m-2)(m2+2m+4))
Remove unnecessary parentheses.
2(m-2)(m2+2m+4)
2(m-2)(m2+2m+4)
Factor 2m^3-16

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