What is factor v^2+5v+6 ?

The solution to factor v^2+5v+6 is (v+2)(v+3)

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factor v^2+5v+6

factor

v^{2} + 5 v + 6

(v + 2) (v + 3)

Solution steps

v^{2} + 5 v + 6

Break the expression into groups

= (v^{2} + 2 v) + (3 v + 6)

Factor out

v

from

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

Factor out

3

from

3 v + 6 : 3 (v + 2)

= v (v + 2) + 3 (v + 2)

Factor out common term

v + 2

= (v + 2) (v + 3)

0 = 3 x^{2} - 75

m^{2} - 5 m - 3 = 0

4 x^{2} - 4 x - 48

4 x - 5 > 7

- \frac{3}{4} \cdot 2