What is factor (x-2y)^3+(x+2y)^3 ?

The solution to factor (x-2y)^3+(x+2y)^3 is 2x(x^2+12y^2)

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factor (x-2y)^3+(x+2y)^3

factor

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

2 x (x^{2} + 12 y^{2})

Solution steps

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

Apply Sum of Cubes Formula:

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

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

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

Refine

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

Expand

(x - 2 y)^{2} - (x + 2 y) (x - 2 y) + (x + 2 y)^{2} : x^{2} + 12 y^{2}

= 2 x (x^{2} + 12 y^{2})

4 - d 4 e 2

7 a - 7 b + ma - mb

[(4 q + 4) - p] [(4 q + 4) + p]

9 x^{2} - 4 x^{2}

(\frac{1}{3})!

What is factor (x-2y)^3+(x+2y)^3 ?
The solution to factor (x-2y)^3+(x+2y)^3 is 2x(x^2+12y^2)