What is factor 8x^2-22x+9 ?

The solution to factor 8x^2-22x+9 is (2x-1)(4x-9)

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factor 8x^2-22x+9

factor

8 x^{2} - 22 x + 9

(2 x - 1) (4 x - 9)

Solution steps

8 x^{2} - 22 x + 9

Break the expression into groups

= (8 x^{2} - 4 x) + (- 18 x + 9)

Factor out

4 x

from

8 x^{2} - 4 x : 4 x (2 x - 1)

Factor out

- 9

from

- 18 x + 9 : - 9 (2 x - 1)

= 4 x (2 x - 1) - 9 (2 x - 1)

Factor out common term

2 x - 1

= (2 x - 1) (4 x - 9)

(b - c)^{3} + (c - a)^{3} + (a - b)^{3}

- 3 x^{2} + 12 x - 9 = 0

2 x^{2} + 5 x + 3 < 0

8 x - 2 = 0

8 x^{2} = 12 x + 4