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Popular >

factor m^3-216

Solution

factor

m^{3} - 216

Solution

(m - 6) (m^{2} + 6 m + 36)

Solution steps

m^{3} - 216

Rewrite

216

as

6^{3}

= m^{3} - 6^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

m^{3} - 6^{3} = (m - 6) (m^{2} + 6 m + 6^{2})

= (m - 6) (m^{2} + 6 m + 6^{2})

6^{2} = 36

= (m - 6) (m^{2} + 6 m + 36)

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Frequently Asked Questions (FAQ)

What is factor m^3-216 ?
The solution to factor m^3-216 is (m-6)(m^2+6m+36)