What is factor n^2+6n-7 ?

The solution to factor n^2+6n-7 is (n-1)(n+7)

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factor n^2+6n-7

factor

n^{2} + 6 n - 7

(n - 1) (n + 7)

Solution steps

n^{2} + 6 n - 7

Break the expression into groups

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

Factor out

n

from

n^{2} - n : n (n - 1)

Factor out

7

from

7 n - 7 : 7 (n - 1)

= n (n - 1) + 7 (n - 1)

Factor out common term

n - 1

= (n - 1) (n + 7)

5 x^{2} + 5 x - 10

3 x^{2} + 9 x + 6

\frac{x - 4}{7 x + 1} < 2

(x - 2) (x + 3)^{2} \leq 0

lo g_{5} (2 x - 1) + lo g_{5} (x + 2) > 2