What is factor k^2+8k+15 ?

The solution to factor k^2+8k+15 is (k+3)(k+5)

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factor k^2+8k+15

factor

k^{2} + 8 k + 15

(k + 3) (k + 5)

Solution steps

k^{2} + 8 k + 15

Break the expression into groups

= (k^{2} + 3 k) + (5 k + 15)

Factor out

k

from

k^{2} + 3 k : k (k + 3)

Factor out

5

from

5 k + 15 : 5 (k + 3)

= k (k + 3) + 5 (k + 3)

Factor out common term

k + 3

= (k + 3) (k + 5)

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