What is factor 4x^3-8x^2-9x+18 ?

The solution to factor 4x^3-8x^2-9x+18 is (x-2)(2x+3)(2x-3)

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factor 4x^3-8x^2-9x+18

factor

4 x^{3} - 8 x^{2} - 9 x + 18

(x - 2) (2 x + 3) (2 x - 3)

Solution steps

4 x^{3} - 8 x^{2} - 9 x + 18

= (4 x^{3} - 8 x^{2}) + (- 9 x + 18)

Factor out

4 x^{2}

from

4 x^{3} - 8 x^{2} : 4 x^{2} (x - 2)

Factor out

- 9

from

- 9 x + 18 : - 9 (x - 2)

= 4 x^{2} (x - 2) - 9 (x - 2)

Factor out common term

x - 2

= (x - 2) (4 x^{2} - 9)

Factor

4 x^{2} - 9 : (2 x + 3) (2 x - 3)

= (x - 2) (2 x + 3) (2 x - 3)

y^{2} + 50 y + 336

(3 x + 1) (2 x + 1)

\frac{x y}{x}

What is factor 4x^3-8x^2-9x+18 ?
The solution to factor 4x^3-8x^2-9x+18 is (x-2)(2x+3)(2x-3)