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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 Sum 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)

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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)