What is factor (m-2)^3+(m+5)^3 ?

The solution to factor (m-2)^3+(m+5)^3 is (2m+3)(m^2+3m+39)

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factor (m-2)^3+(m+5)^3

factor

(m - 2)^{3} + (m + 5)^{3}

(2 m + 3) (m^{2} + 3 m + 39)

Solution steps

(m - 2)^{3} + (m + 5)^{3}

Apply Sum of Cubes Formula:

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

(m - 2)^{3} + (m + 5)^{3} = ((m - 2) + (m + 5)) ((m - 2)^{2} - (m + 5) (m - 2) + (m + 5)^{2})

= ((m + 5) + (m - 2)) ((m + 5)^{2} - (m + 5) (m - 2) + (m - 2)^{2})

Refine

= (2 m + 3) ((m + 5)^{2} - (m + 5) (m - 2) + (m - 2)^{2})

Expand

(m - 2)^{2} - (m + 5) (m - 2) + (m + 5)^{2} : m^{2} + 3 m + 39

= (2 m + 3) (m^{2} + 3 m + 39)

2 m x - 20 n y - 8 n x + 5 m y

[6]

- cos (3) (3 x^{2})

\frac{e ^{9} - e ^{3}}{6}

a x + x^{2} + ab + b x

What is factor (m-2)^3+(m+5)^3 ?
The solution to factor (m-2)^3+(m+5)^3 is (2m+3)(m^2+3m+39)