What is factor p^2+12p+35 ?

The solution to factor p^2+12p+35 is (p+5)(p+7)

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factor p^2+12p+35

factor

p^{2} + 12 p + 35

(p + 5) (p + 7)

Solution steps

p^{2} + 12 p + 35

Break the expression into groups

= (p^{2} + 5 p) + (7 p + 35)

Factor out

p

from

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

Factor out

7

from

7 p + 35 : 7 (p + 5)

= p (p + 5) + 7 (p + 5)

Factor out common term

p + 5

= (p + 5) (p + 7)

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