What is factor k^2-21k+54 ?

The solution to factor k^2-21k+54 is (k-3)(k-18)

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factor k^2-21k+54

factor

k^{2} - 21 k + 54

(k - 3) (k - 18)

Solution steps

k^{2} - 21 k + 54

Break the expression into groups

= (k^{2} - 3 k) + (- 18 k + 54)

Factor out

k

from

k^{2} - 3 k : k (k - 3)

Factor out

- 18

from

- 18 k + 54 : - 18 (k - 3)

= k (k - 3) - 18 (k - 3)

Factor out common term

k - 3

= (k - 3) (k - 18)

y^{2} - 5 y - 24

2 x z - 3 yz + 8 x - 12 y

\frac{8}{11} (n - 10) = 64

8 (4 k - 4) = - 5 k - 32

n + 7 \leq - 2 or n + 11 \geq 17