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Popular >

factor m^3+27

Solution

factor

m^{3} + 27

Solution

(m + 3) (m^{2} - 3 m + 9)

Solution steps

m^{3} + 27

Rewrite

27

as

3^{3}

= m^{3} + 3^{3}

Apply Sum of Cubes Formula:

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

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

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

3^{2} = 9

= (m + 3) (m^{2} - 3 m + 9)

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Frequently Asked Questions (FAQ)

What is factor m^3+27 ?
The solution to factor m^3+27 is (m+3)(m^2-3m+9)