What is factor 8x^3+20x^2-18x-45 ?

The solution to factor 8x^3+20x^2-18x-45 is (2x+5)(2x+3)(2x-3)

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factor 8x^3+20x^2-18x-45

factor

8 x^{3} + 20 x^{2} - 18 x - 45

(2 x + 5) (2 x + 3) (2 x - 3)

Solution steps

8 x^{3} + 20 x^{2} - 18 x - 45

= (8 x^{3} + 20 x^{2}) + (- 18 x - 45)

Factor out

4 x^{2}

from

8 x^{3} + 20 x^{2} : 4 x^{2} (2 x + 5)

Factor out

- 9

from

- 18 x - 45 : - 9 (2 x + 5)

= 4 x^{2} (2 x + 5) - 9 (2 x + 5)

Factor out common term

2 x + 5

= (2 x + 5) (4 x^{2} - 9)

Factor

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

= (2 x + 5) (2 x + 3) (2 x - 3)

2 + 18

lo g_{2} (\frac{8}{3})

54 x + 9

3 x \cdot (- 2)

(\frac{3 x}{2})^{3}

What is factor 8x^3+20x^2-18x-45 ?
The solution to factor 8x^3+20x^2-18x-45 is (2x+5)(2x+3)(2x-3)