What is factor (x-1)^3+(x+1)^3 ?

The solution to factor (x-1)^3+(x+1)^3 is 2x(x^2+3)

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factor (x-1)^3+(x+1)^3

factor

(x - 1)^{3} + (x + 1)^{3}

2 x (x^{2} + 3)

Solution steps

(x - 1)^{3} + (x + 1)^{3}

Apply Sum of Cubes Formula:

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

(x - 1)^{3} + (x + 1)^{3} = ((x - 1) + (x + 1)) ((x - 1)^{2} - (x + 1) (x - 1) + (x + 1)^{2})

= ((x + 1) + (x - 1)) ((x + 1)^{2} - (x + 1) (x - 1) + (x - 1)^{2})

Refine

= 2 x ((x + 1)^{2} - (x + 1) (x - 1) + (x - 1)^{2})

Expand

(x - 1)^{2} - (x + 1) (x - 1) + (x + 1)^{2} : x^{2} + 3

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

1 + 18 ab + 81 a 2 b

(4 - m^{3}) (2 + m - 1)

4 a^{2} x + 4 a^{2} y - b^{2} x - b^{2} y

3 sin^{(2)} (t)

What is factor (x-1)^3+(x+1)^3 ?
The solution to factor (x-1)^3+(x+1)^3 is 2x(x^2+3)