What is factor x^2+20x+91 ?

The solution to factor x^2+20x+91 is (x+7)(x+13)

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factor x^2+20x+91

factor

x^{2} + 20 x + 91

(x + 7) (x + 13)

Solution steps

x^{2} + 20 x + 91

Break the expression into groups

= (x^{2} + 7 x) + (13 x + 91)

Factor out

x

from

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

Factor out

13

from

13 x + 91 : 13 (x + 7)

= x (x + 7) + 13 (x + 7)

Factor out common term

x + 7

= (x + 7) (x + 13)

\frac{x + 3}{4} - \frac{4 x - 5}{5} = 5

a^{2} + 18 a + 81

3 (x - 5) = - 3 x - 3

\frac{4 x}{15} - \frac{6 x + 28}{3} \leq 0

- (x + 2) \geq 3 (x - 1)