What is factor x^2-14x+45 ?

The solution to factor x^2-14x+45 is (x-5)(x-9)

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factor x^2-14x+45

factor

x^{2} - 14 x + 45

(x - 5) (x - 9)

Solution steps

x^{2} - 14 x + 45

Break the expression into groups

= (x^{2} - 5 x) + (- 9 x + 45)

Factor out

x

from

x^{2} - 5 x : x (x - 5)

Factor out

- 9

from

- 9 x + 45 : - 9 (x - 5)

= x (x - 5) - 9 (x - 5)

Factor out common term

x - 5

= (x - 5) (x - 9)

- 7 \times (- 3)

\frac{- 6 x + 8}{8} + \frac{- 6 x - 5}{8}

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\frac{2}{x} - \frac{7}{2 x}

\frac{\frac{1}{x - 4} + \frac{1}{x + 6}}{x + 1}