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

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

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

factor

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

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

Solution steps

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

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

Factor out

x^{2}

from

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

Factor out

- 9

from

- 18 x - 27 : - 9 (2 x + 3)

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

Factor out common term

2 x + 3

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

Factor

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

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

2 p^{2} - 5 p - 7

25 \cdot 315

\frac{3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3}{3 \cdot 3 \cdot 3 \cdot 3}

2 (x + 3) = 250

w^{4} - 625

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