What is factor 64x^3-(3x-1)^3 ?

The solution to factor 64x^3-(3x-1)^3 is (x+1)(37x^2-10x+1)

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factor 64x^3-(3x-1)^3

factor

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

(x + 1) (37 x^{2} - 10 x + 1)

Solution steps

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

Rewrite

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

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

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

Apply Difference of Cubes Formula:

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

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

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

Refine

= (x + 1) (16 x^{2} + 4 x (3 x - 1) + (3 x - 1)^{2})

Expand

16 x^{2} + 4 x (3 x - 1) + (3 x - 1)^{2} : 37 x^{2} - 10 x + 1

= (x + 1) (37 x^{2} - 10 x + 1)

x^{3} + 0 x^{2} - 52 x + 90

d e^{8 t + 6}

(x^{2} - 3 x) - 36

\frac{3 x + 9}{6 x + 10}

(6 x) d x

What is factor 64x^3-(3x-1)^3 ?
The solution to factor 64x^3-(3x-1)^3 is (x+1)(37x^2-10x+1)