What is factor n^2-n-56 ?

The solution to factor n^2-n-56 is (n+7)(n-8)

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factor n^2-n-56

factor

n^{2} - n - 56

(n + 7) (n - 8)

Solution steps

n^{2} - n - 56

Break the expression into groups

= (n^{2} + 7 n) + (- 8 n - 56)

Factor out

n

from

n^{2} + 7 n : n (n + 7)

Factor out

- 8

from

- 8 n - 56 : - 8 (n + 7)

= n (n + 7) - 8 (n + 7)

Factor out common term

n + 7

= (n + 7) (n - 8)

- 23 - 7147

x^{2} = 9 x

5 x + 9 \geq - 13

8 = 2 (x + 4) - 2 x

y^{2} + 4 y - 60