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

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

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

factor

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

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

Solution steps

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

Apply Difference of Cubes Formula:

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

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

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

Refine

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

Expand

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

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

(x + 2) (x + 3) - 4 (x + 4)

ab c + ab c

4 e x + 2 y

(\frac{d ^{2} y}{d x ^{2}})^{3}

(\frac{d z}{d z})^{2}

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