What is factor k^2+5k+6 ?

The solution to factor k^2+5k+6 is (k+2)(k+3)

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factor k^2+5k+6

factor

k^{2} + 5 k + 6

(k + 2) (k + 3)

Solution steps

k^{2} + 5 k + 6

Break the expression into groups

= (k^{2} + 2 k) + (3 k + 6)

Factor out

k

from

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

Factor out

3

from

3 k + 6 : 3 (k + 2)

= k (k + 2) + 3 (k + 2)

Factor out common term

k + 2

= (k + 2) (k + 3)

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(3^{4})^{4}