What is factor w^2+6w+8 ?

The solution to factor w^2+6w+8 is (w+2)(w+4)

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factor w^2+6w+8

factor

w^{2} + 6 w + 8

(w + 2) (w + 4)

Solution steps

w^{2} + 6 w + 8

Break the expression into groups

= (w^{2} + 2 w) + (4 w + 8)

Factor out

w

from

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

Factor out

4

from

4 w + 8 : 4 (w + 2)

= w (w + 2) + 4 (w + 2)

Factor out common term

w + 2

= (w + 2) (w + 4)

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