What is factor-5y^2-22y-8 ?

The solution to factor-5y^2-22y-8 is -(5y+2)(y+4)

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factor-5y^2-22y-8

factor

- 5 y^{2} - 22 y - 8

- (5 y + 2) (y + 4)

Solution steps

- 5 y^{2} - 22 y - 8

Break the expression into groups

= (- 5 y^{2} - 2 y) + (- 20 y - 8)

Factor out

- y

from

- 5 y^{2} - 2 y : - y (5 y + 2)

Factor out

- 4

from

- 20 y - 8 : - 4 (5 y + 2)

= - y (5 y + 2) - 4 (5 y + 2)

Factor out common term

5 y + 2

= (5 y + 2) (- y - 4)

Factor

- y - 4 : - (y + 4)

= (5 y + 2) (- (y + 4))

Apply rule:

a (- b) = - ab

(5 y + 2) (- (y + 4)) = - (5 y + 2) (y + 4)

= - (5 y + 2) (y + 4)

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\frac{1}{2} lo g_{2} (\frac{1}{2}) + \frac{1}{2} lo g_{2} (\frac{1}{2})