What is factor-x^2-8x-12 ?

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

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factor-x^2-8x-12

factor

- x^{2} - 8 x - 12

- (x + 2) (x + 6)

Solution steps

- x^{2} - 8 x - 12

Break the expression into groups

= (- x^{2} - 2 x) + (- 6 x - 12)

Factor out

- x

from

- x^{2} - 2 x : - x (x + 2)

Factor out

- 6

from

- 6 x - 12 : - 6 (x + 2)

= - x (x + 2) - 6 (x + 2)

Factor out common term

x + 2

= (x + 2) (- x - 6)

Factor

- x - 6 : - (x + 6)

= (x + 2) (- (x + 6))

Apply rule:

a (- b) = - ab

(x + 2) (- (x + 6)) = - (x + 2) (x + 6)

= - (x + 2) (x + 6)

(- \frac{1}{5})^{2}

210

- 4 + 4

∣ x + 5 ∣ + 6 = 5

\frac{- 2}{1 - x} < 7