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

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

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

factor

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

(b + 4) (3 b + 2) (3 b - 2)

Solution steps

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

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

Factor out

9 b^{2}

from

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

Factor out

- 4

from

- 4 b - 16 : - 4 (b + 4)

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

Factor out common term

b + 4

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

Factor

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

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

\frac{2}{3} (\frac{1}{2})

196 - n^{6} p^{4} q^{2}

732

\frac{1215}{5}

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