What is factor p^2+12p+27 ?

The solution to factor p^2+12p+27 is (p+3)(p+9)

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factor p^2+12p+27

factor

p^{2} + 12 p + 27

(p + 3) (p + 9)

Solution steps

p^{2} + 12 p + 27

Break the expression into groups

= (p^{2} + 3 p) + (9 p + 27)

Factor out

p

from

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

Factor out

9

from

9 p + 27 : 9 (p + 3)

= p (p + 3) + 9 (p + 3)

Factor out common term

p + 3

= (p + 3) (p + 9)

2 q^{2} + 3 q - 8 = 0

\frac{11}{6} - \frac{5}{8}

- 2 (x + 13) + 37 \leq 5 x - 17

x (x - 2) = 15

(x - 5) (x - 2) (x + 7) > 0