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

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

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factor f^2+5f+6

factor

f^{2} + 5 f + 6

(f + 2) (f + 3)

Solution steps

f^{2} + 5 f + 6

Break the expression into groups

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

Factor out

f

from

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

Factor out

3

from

3 f + 6 : 3 (f + 2)

= f (f + 2) + 3 (f + 2)

Factor out common term

f + 2

= (f + 2) (f + 3)

∣ - 4 w + 2 ∣ = 14

4 w + 3 w - 6 w = w + 15 + 2 w - 3 w

x^{2} = 13 + x

10 = \frac{3}{7} (4 x + 35)

7 x \leq 5 x + 7 < 6 x + 8