What is factor 6x^2-x-40 ?

The solution to factor 6x^2-x-40 is (2x+5)(3x-8)

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factor 6x^2-x-40

factor

6 x^{2} - x - 40

(2 x + 5) (3 x - 8)

Solution steps

6 x^{2} - x - 40

Break the expression into groups

= (6 x^{2} + 15 x) + (- 16 x - 40)

Factor out

3 x

from

6 x^{2} + 15 x : 3 x (2 x + 5)

Factor out

- 8

from

- 16 x - 40 : - 8 (2 x + 5)

= 3 x (2 x + 5) - 8 (2 x + 5)

Factor out common term

2 x + 5

= (2 x + 5) (3 x - 8)

4 x^{2} + 27 x + 35

\frac{400 t ^{2} + 40 t + 1}{25 t ^{2} - 1} \geq 0

\frac{2 x}{x ^{2} - y ^{2}} - \frac{1}{x + y} - \frac{y}{x - x y}

x^{3} - 3 x^{2} y - x + 3 y

60 + \frac{3}{5} (178 - 60)