What is factor b^2-12b+27 ?

The solution to factor b^2-12b+27 is (b-3)(b-9)

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factor b^2-12b+27

factor

b^{2} - 12 b + 27

(b - 3) (b - 9)

Solution steps

b^{2} - 12 b + 27

Break the expression into groups

= (b^{2} - 3 b) + (- 9 b + 27)

Factor out

b

from

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

Factor out

- 9

from

- 9 b + 27 : - 9 (b - 3)

= b (b - 3) - 9 (b - 3)

Factor out common term

b - 3

= (b - 3) (b - 9)

x^{2} \leq 8 x - 14

4 k^{2} - 31 k - 8 = 0

3 x + 7 \geq - 41

x^{3} - 4 x^{2} - 12 x > 0

(2 x + 5) (x + 2) = 0