What is factor (4x-1)^3+(x+3)^3 ?

The solution to factor (4x-1)^3+(x+3)^3 is 13(5x+2)(x^2-x+1)

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factor (4x-1)^3+(x+3)^3

factor

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

13 (5 x + 2) (x^{2} - x + 1)

Solution steps

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

Apply Sum of Cubes Formula:

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

(4 x - 1)^{3} + (x + 3)^{3} = ((4 x - 1) + (x + 3)) ((4 x - 1)^{2} - (x + 3) (4 x - 1) + (x + 3)^{2})

= ((x + 3) + (4 x - 1)) ((x + 3)^{2} - (x + 3) (4 x - 1) + (4 x - 1)^{2})

Refine

= (5 x + 2) ((4 x - 1)^{2} - (x + 3) (4 x - 1) + (x + 3)^{2})

Factor

(4 x - 1)^{2} - (x + 3) (4 x - 1) + (x + 3)^{2} : 13 (x^{2} - x + 1)

= 13 (5 x + 2) (x^{2} - x + 1)

3 - 2 - 64 p^{2}

\frac{x ^{3} - 64}{x - 4}

9 + 33

3 - {x}

What is factor (4x-1)^3+(x+3)^3 ?
The solution to factor (4x-1)^3+(x+3)^3 is 13(5x+2)(x^2-x+1)