What is factor 9x^2-24xy+7y^2 ?

The solution to factor 9x^2-24xy+7y^2 is (3x-y)(3x-7y)

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factor 9x^2-24xy+7y^2

factor

9 x^{2} - 24 x y + 7 y^{2}

(3 x - y) (3 x - 7 y)

Solution steps

9 x^{2} - 24 x y + 7 y^{2}

Break the expression into groups

= (9 x^{2} - 3 x y) + (- 21 x y + 7 y^{2})

Factor out

3 x

from

9 x^{2} - 3 x y : 3 x (3 x - y)

Factor out

- 7 y

from

- 21 x y + 7 y^{2} : - 7 y (3 x - y)

= 3 x (3 x - y) - 7 y (3 x - y)

Factor out common term

3 x - y

= (3 x - y) (3 x - 7 y)

x^{2} - x = 3

6 x^{2} - 5 x - 2 = 0

24 x^{2} + 14 x y + 2 y^{2}

2 x^{2} = 18

x^{2} - 6 x - 2 = 0

What is factor 9x^2-24xy+7y^2 ?
The solution to factor 9x^2-24xy+7y^2 is (3x-y)(3x-7y)