What is factor (6x-5)^3-8 ?

The solution to factor (6x-5)^3-8 is (6x-7)(36x^2-48x+19)

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factor (6x-5)^3-8

factor

(6 x - 5)^{3} - 8

(6 x - 7) (36 x^{2} - 48 x + 19)

Solution steps

(6 x - 5)^{3} - 8

Rewrite

8

2^{3}

= (6 x - 5)^{3} - 2^{3}

Apply Difference of Cubes Formula:

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

(6 x - 5)^{3} - 2^{3} = ((6 x - 5) - 2) ((6 x - 5)^{2} + 2 (6 x - 5) + 2^{2})

= ((6 x - 5) - 2) ((6 x - 5)^{2} + 2 (6 x - 5) + 2^{2})

Refine

= (6 x - 7) ((6 x - 5)^{2} + 2 (6 x - 5) + 4)

Expand

(6 x - 5)^{2} + 2 (6 x - 5) + 4 : 36 x^{2} - 48 x + 19

= (6 x - 7) (36 x^{2} - 48 x + 19)

(b)^{3}

x^{15} y^{12} z^{6} - 343

10 am + 2 bm + bn + 5 an

ln (e^{2} + e^{3})

5 x (3 x + 2) (4 (3 x + 2))

What is factor (6x-5)^3-8 ?
The solution to factor (6x-5)^3-8 is (6x-7)(36x^2-48x+19)