What is factor 18x^3+27x^2-8x-12 ?

The solution to factor 18x^3+27x^2-8x-12 is (2x+3)(3x+2)(3x-2)

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factor 18x^3+27x^2-8x-12

factor

18 x^{3} + 27 x^{2} - 8 x - 12

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

Solution steps

18 x^{3} + 27 x^{2} - 8 x - 12

= (18 x^{3} + 27 x^{2}) + (- 8 x - 12)

Factor out

9 x^{2}

from

18 x^{3} + 27 x^{2} : 9 x^{2} (2 x + 3)

Factor out

- 4

from

- 8 x - 12 : - 4 (2 x + 3)

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

Factor out common term

2 x + 3

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

Factor

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

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

lo g_{3} (8^{3} \cdot 9^{8})

\frac{21}{45}

- 2.4 x + 3.8 x - x

(\frac{- 4 x ^{4} y ^{- 2}}{5 x ^{- 1} y ^{4}})^{- 4}

4 \cdot (- 7)

What is factor 18x^3+27x^2-8x-12 ?
The solution to factor 18x^3+27x^2-8x-12 is (2x+3)(3x+2)(3x-2)