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

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

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

factor

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

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

Solution steps

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

Apply Sum of Cubes Formula:

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

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

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

Refine

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

+ 2 k^{2} - 16 k^{2} - 3 k + 24

4 x y + 3 x z - 6 zy - 5 z x + y x

6 (2 p + q)^{2} - 5 (2 p + q) - 25

6 t^{2} - 8 + 40 cos (π t)

(m - n)^{2} + 5 (m - n) - 24

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