What is factor n^2-8n-65 ?

The solution to factor n^2-8n-65 is (n+5)(n-13)

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factor n^2-8n-65

factor

n^{2} - 8 n - 65

(n + 5) (n - 13)

Solution steps

n^{2} - 8 n - 65

Break the expression into groups

= (n^{2} + 5 n) + (- 13 n - 65)

Factor out

n

from

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

Factor out

- 13

from

- 13 n - 65 : - 13 (n + 5)

= n (n + 5) - 13 (n + 5)

Factor out common term

n + 5

= (n + 5) (n - 13)

5 ∣ 2 x - 5 ∣ = 15

8 (\frac{1}{4} x + \frac{3}{4}) - 3 = 17

(- 8)^{\frac{5}{3}}

x + (x + 1) = 11

x - 7 < - 2