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Popular >

factor m^3n^3+27

Solution

factor

m^{3} n^{3} + 27

Solution

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

Solution steps

m^{3} n^{3} + 27

Apply exponent rules

= (mn)^{3} + 3^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(mn)^{2} - 3 mn + 3^{2} : m^{2} n^{2} - 3 mn + 9

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

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Frequently Asked Questions (FAQ)

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