What is factor n^2-n-90 ?

The solution to factor n^2-n-90 is (n+9)(n-10)

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factor n^2-n-90

factor

n^{2} - n - 90

(n + 9) (n - 10)

Solution steps

n^{2} - n - 90

Break the expression into groups

= (n^{2} + 9 n) + (- 10 n - 90)

Factor out

n

from

n^{2} + 9 n : n (n + 9)

Factor out

- 10

from

- 10 n - 90 : - 10 (n + 9)

= n (n + 9) - 10 (n + 9)

Factor out common term

n + 9

= (n + 9) (n - 10)

x^{2} - (x + 1)^{2} = 2 - x^{2}

(x - 4)^{2} < x (x + 4) + 8

x^{2} - 5 x - 28 = 8

- 2 x^{2} - 5 x - 3 < 0

1.5 \cdot 4