What is factor 2v^2-v-3 ?

The solution to factor 2v^2-v-3 is (v+1)(2v-3)

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factor 2v^2-v-3

factor

2 v^{2} - v - 3

(v + 1) (2 v - 3)

Solution steps

2 v^{2} - v - 3

Break the expression into groups

= (2 v^{2} + 2 v) + (- 3 v - 3)

Factor out

2 v

from

2 v^{2} + 2 v : 2 v (v + 1)

Factor out

- 3

from

- 3 v - 3 : - 3 (v + 1)

= 2 v (v + 1) - 3 (v + 1)

Factor out common term

v + 1

= (v + 1) (2 v - 3)

7 x^{2} = - 21

12 8^{\frac{1}{3}} \cdot 4^{\frac{1}{3}}

- \frac{\frac{5}{3}}{( - \frac{1}{8} )}

- \frac{2}{3} x < - 8

x^{2} - 8 x = 9