What is factor 3y^2+8y+5 ?

The solution to factor 3y^2+8y+5 is (y+1)(3y+5)

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factor 3y^2+8y+5

factor

3 y^{2} + 8 y + 5

(y + 1) (3 y + 5)

Solution steps

3 y^{2} + 8 y + 5

Break the expression into groups

= (3 y^{2} + 3 y) + (5 y + 5)

Factor out

3 y

from

3 y^{2} + 3 y : 3 y (y + 1)

Factor out

5

from

5 y + 5 : 5 (y + 1)

= 3 y (y + 1) + 5 (y + 1)

Factor out common term

y + 1

= (y + 1) (3 y + 5)

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