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

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

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

factor

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

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

Solution steps

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

Apply Difference of Cubes Formula:

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

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

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

Refine

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

8 c^{3} - 125 d^{3}

(x - 25) (x + 52) = x^{2} - 1010

2 x^{2} - 3 x - 14 = 0

- \frac{5}{2} (- 2)

- 4 = 2 x - 8

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