What is factor x^2-17x+70 ?

The solution to factor x^2-17x+70 is (x-7)(x-10)

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factor x^2-17x+70

factor

x^{2} - 17 x + 70

(x - 7) (x - 10)

Solution steps

x^{2} - 17 x + 70

Break the expression into groups

= (x^{2} - 7 x) + (- 10 x + 70)

Factor out

x

from

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

Factor out

- 10

from

- 10 x + 70 : - 10 (x - 7)

= x (x - 7) - 10 (x - 7)

Factor out common term

x - 7

= (x - 7) (x - 10)

w^{2} + 18 w + 81

\frac{x}{4} + \frac{x}{3} = 14

x^{2} = 5 x - 4

\frac{2 x + 3}{8} - \frac{x + 7}{2} = \frac{- 1}{8} - \frac{5 ( x + 3 )}{2}