What is factor (m+n)^3+216 ?

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

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factor (m+n)^3+216

factor

(m + n)^{3} + 216

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

Solution steps

(m + n)^{3} + 216

Rewrite

216

6^{3}

= (m + n)^{3} + 6^{3}

Apply Sum of Cubes Formula:

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

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

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

Refine

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

z = \frac{117.1 - 120}{5.6}

2 (x^{2} + 11) = 40

(- \frac{5}{2})^{3}

\frac{21}{- 3}

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