What is factor 9w^2+9w+2 ?

The solution to factor 9w^2+9w+2 is (3w+1)(3w+2)

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factor 9w^2+9w+2

factor

9 w^{2} + 9 w + 2

(3 w + 1) (3 w + 2)

Solution steps

9 w^{2} + 9 w + 2

Break the expression into groups

= (9 w^{2} + 3 w) + (6 w + 2)

Factor out

3 w

from

9 w^{2} + 3 w : 3 w (3 w + 1)

Factor out

2

from

6 w + 2 : 2 (3 w + 1)

= 3 w (3 w + 1) + 2 (3 w + 1)

Factor out common term

3 w + 1

= (3 w + 1) (3 w + 2)

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