What is factor k^2-17k+72 ?

The solution to factor k^2-17k+72 is (k-8)(k-9)

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factor k^2-17k+72

factor

k^{2} - 17 k + 72

(k - 8) (k - 9)

Solution steps

k^{2} - 17 k + 72

Break the expression into groups

= (k^{2} - 8 k) + (- 9 k + 72)

Factor out

k

from

k^{2} - 8 k : k (k - 8)

Factor out

- 9

from

- 9 k + 72 : - 9 (k - 8)

= k (k - 8) - 9 (k - 8)

Factor out common term

k - 8

= (k - 8) (k - 9)

- 24 = - 2 u

- 6 x < - 30 and x + 6 > 5

\frac{( y - 3 ) ^{2}}{3} = 9 - y

6 + 6

x^{2} = 6 x - 25