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

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

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factor y^2+8y+12

factor

y^{2} + 8 y + 12

(y + 2) (y + 6)

Solution steps

y^{2} + 8 y + 12

Break the expression into groups

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

Factor out

y

from

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

Factor out

6

from

6 y + 12 : 6 (y + 2)

= y (y + 2) + 6 (y + 2)

Factor out common term

y + 2

= (y + 2) (y + 6)

49 - 64 x^{2}

6 ∣ 1 - 5 x ∣ - 9 = 57

5 \leq 2 x + 4 < 8

x - 5 = 3

49 p^{2} + 42 p + 9