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Popular >

factor m^3-8

Solution

factor

m^{3} - 8

Solution

(m - 2) (m^{2} + 2 m + 4)

Solution steps

m^{3} - 8

Rewrite

8

as

2^{3}

= m^{3} - 2^{3}

Apply Difference of Cubes Formula:

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

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

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

2^{2} = 4

= (m - 2) (m^{2} + 2 m + 4)

Popular Examples

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Frequently Asked Questions (FAQ)

What is factor m^3-8 ?
The solution to factor m^3-8 is (m-2)(m^2+2m+4)