What is factor 45x^3+18x^2-5x-2 ?

The solution to factor 45x^3+18x^2-5x-2 is (5x+2)(3x+1)(3x-1)

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factor 45x^3+18x^2-5x-2

factor

45 x^{3} + 18 x^{2} - 5 x - 2

(5 x + 2) (3 x + 1) (3 x - 1)

Solution steps

45 x^{3} + 18 x^{2} - 5 x - 2

= (45 x^{3} + 18 x^{2}) + (- 5 x - 2)

Factor out

9 x^{2}

from

45 x^{3} + 18 x^{2} : 9 x^{2} (5 x + 2)

Factor out

- 1

from

- 5 x - 2 : - (5 x + 2)

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

Factor out common term

(5 x + 2) : (5 x + 2) (9 x^{2} - 1)

= (5 x + 2) (9 x^{2} - 1)

Factor

9 x^{2} - 1 : (3 x + 1) (3 x - 1)

= (5 x + 2) (3 x + 1) (3 x - 1)

4 x^{2} - 6 x + \frac{9}{4}

(7 + 3)^{2} + (7 - 3)^{2}

\frac{sec ( x )}{tan ^{2} ( x )}

(4 x^{3} + 2 x + 1) (x^{2} + 4 x - 3)

(12)^{- 1} \cdot (144)^{2} \cdot (12)^{- 3} \cdot (1728)^{4}

What is factor 45x^3+18x^2-5x-2 ?
The solution to factor 45x^3+18x^2-5x-2 is (5x+2)(3x+1)(3x-1)