What is factor y^2+18y+65 ?

The solution to factor y^2+18y+65 is (y+5)(y+13)

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factor y^2+18y+65

factor

y^{2} + 18 y + 65

(y + 5) (y + 13)

Solution steps

y^{2} + 18 y + 65

Break the expression into groups

= (y^{2} + 5 y) + (13 y + 65)

Factor out

y

from

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

Factor out

13

from

13 y + 65 : 13 (y + 5)

= y (y + 5) + 13 (y + 5)

Factor out common term

y + 5

= (y + 5) (y + 13)

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