What is factor 16x^3+32x^2-9x-18 ?

The solution to factor 16x^3+32x^2-9x-18 is (x+2)(4x+3)(4x-3)

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factor 16x^3+32x^2-9x-18

factor

16 x^{3} + 32 x^{2} - 9 x - 18

(x + 2) (4 x + 3) (4 x - 3)

Solution steps

16 x^{3} + 32 x^{2} - 9 x - 18

= (16 x^{3} + 32 x^{2}) + (- 9 x - 18)

Factor out

16 x^{2}

from

16 x^{3} + 32 x^{2} : 16 x^{2} (x + 2)

Factor out

- 9

from

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

= 16 x^{2} (x + 2) - 9 (x + 2)

Factor out common term

x + 2

= (x + 2) (16 x^{2} - 9)

Factor

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

= (x + 2) (4 x + 3) (4 x - 3)

\frac{- 4 + 3}{2}

596

(8 - 2)^{2}

3125

\frac{33}{11}

What is factor 16x^3+32x^2-9x-18 ?
The solution to factor 16x^3+32x^2-9x-18 is (x+2)(4x+3)(4x-3)