What is factor (x-3)^3+(3x-2)^3 ?

The solution to factor (x-3)^3+(3x-2)^3 is 7(4x-5)(x^2-x+1)

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factor (x-3)^3+(3x-2)^3

factor

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

7 (4 x - 5) (x^{2} - x + 1)

Solution steps

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

Apply Sum of Cubes Formula:

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

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

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

Refine

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

Factor

(3 x - 2)^{2} - (x - 3) (3 x - 2) + (x - 3)^{2} : 7 (x^{2} - x + 1)

= 7 (4 x - 5) (x^{2} - x + 1)

[(a + 3 b) + 4 c] [(a + 3 b) + 9 c]

z^{6} + 6 z^{4} + 12 z^{2} + 8

(6 a + 5)^{2} - 15 (6 a + 5) + 50

l {e^{2 t} cosh (t)}

25 (sec (5 x))^{2}

What is factor (x-3)^3+(3x-2)^3 ?
The solution to factor (x-3)^3+(3x-2)^3 is 7(4x-5)(x^2-x+1)