What is factor q^2+8q+12 ?

The solution to factor q^2+8q+12 is (q+2)(q+6)

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factor q^2+8q+12

factor

q^{2} + 8 q + 12

(q + 2) (q + 6)

Solution steps

q^{2} + 8 q + 12

Break the expression into groups

= (q^{2} + 2 q) + (6 q + 12)

Factor out

q

from

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

Factor out

6

from

6 q + 12 : 6 (q + 2)

= q (q + 2) + 6 (q + 2)

Factor out common term

q + 2

= (q + 2) (q + 6)

13 x - 6 = 111

2 x^{2} + 2

5 x + 1 \leq 16

- 1 < x^{2} + 2 x < 3

∣ 4 x + 3 ∣ - 2 = 2