What is factor x^2+27x+180 ?

The solution to factor x^2+27x+180 is (x+12)(x+15)

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factor x^2+27x+180

factor

x^{2} + 27 x + 180

(x + 12) (x + 15)

Solution steps

x^{2} + 27 x + 180

Break the expression into groups

= (x^{2} + 12 x) + (15 x + 180)

Factor out

x

from

x^{2} + 12 x : x (x + 12)

Factor out

15

from

15 x + 180 : 15 (x + 12)

= x (x + 12) + 15 (x + 12)

Factor out common term

x + 12

= (x + 12) (x + 15)

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