What is factor 9x^3+36x^2-4x-16 ?

The solution to factor 9x^3+36x^2-4x-16 is (x+4)(3x+2)(3x-2)

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factor 9x^3+36x^2-4x-16

factor

9 x^{3} + 36 x^{2} - 4 x - 16

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

Solution steps

9 x^{3} + 36 x^{2} - 4 x - 16

= (9 x^{3} + 36 x^{2}) + (- 4 x - 16)

Factor out

9 x^{2}

from

9 x^{3} + 36 x^{2} : 9 x^{2} (x + 4)

Factor out

- 4

from

- 4 x - 16 : - 4 (x + 4)

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

Factor out common term

x + 4

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

Factor

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

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

6 x^{2} - x = 35

\frac{4}{6} x - 4 x + \frac{8}{3} = \frac{4}{3}

4 a^{2} - 12 a - 8

136

(3 (\frac{4 i}{n})^{2} + 8 (\frac{4 i}{n}) - 5) (\frac{4}{n})

What is factor 9x^3+36x^2-4x-16 ?
The solution to factor 9x^3+36x^2-4x-16 is (x+4)(3x+2)(3x-2)