What is factor p^2+14p+40 ?

The solution to factor p^2+14p+40 is (p+4)(p+10)

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factor p^2+14p+40

factor

p^{2} + 14 p + 40

(p + 4) (p + 10)

Solution steps

p^{2} + 14 p + 40

Break the expression into groups

= (p^{2} + 4 p) + (10 p + 40)

Factor out

p

from

p^{2} + 4 p : p (p + 4)

Factor out

10

from

10 p + 40 : 10 (p + 4)

= p (p + 4) + 10 (p + 4)

Factor out common term

p + 4

= (p + 4) (p + 10)

- 3 (k - 8) - (k + 5) = 23

- \frac{x}{11} = 10

(4 + 4 i) (- 2 - 5 i)

2 8 - \frac{3}{2} x + 11 = 19

4 x + 1 = 2 x + 7