Factor 6m^3-750

Math
6m3-750
Factor 6 out of 6m3-750.
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Factor 6 out of 6m3.
6(m3)-750
Factor 6 out of -750.
6m3+6⋅-125
Factor 6 out of 6m3+6⋅-125.
6(m3-125)
6(m3-125)
Rewrite 125 as 53.
6(m3-53)
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=5.
6((m-5)(m2+m⋅5+52))
Factor.
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Simplify.
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Move 5 to the left of m.
6((m-5)(m2+5m+52))
Raise 5 to the power of 2.
6((m-5)(m2+5m+25))
6((m-5)(m2+5m+25))
Remove unnecessary parentheses.
6(m-5)(m2+5m+25)
6(m-5)(m2+5m+25)
Factor 6m^3-750

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