What is factor 12x^2-4xy+9xy-3y^2 ?

The solution to factor 12x^2-4xy+9xy-3y^2 is (3x-y)(4x+3y)

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factor 12x^2-4xy+9xy-3y^2

factor

12 x^{2} - 4 x y + 9 x y - 3 y^{2}

(3 x - y) (4 x + 3 y)

Solution steps

12 x^{2} - 4 x y + 9 x y - 3 y^{2}

Add similar elements:

- 4 x y + 9 x y = 5 x y

= 12 x^{2} + 5 x y - 3 y^{2}

Break the expression into groups

= (12 x^{2} - 4 x y) + (9 x y - 3 y^{2})

Factor out

4 x

from

12 x^{2} - 4 x y : 4 x (3 x - y)

Factor out

3 y

from

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

= 4 x (3 x - y) + 3 y (3 x - y)

Factor out common term

3 x - y

= (3 x - y) (4 x + 3 y)

x^{3} - y^{3}

4 x = 4 x + 8

2 x + 1 < 3

28 s^{2} + 8 s t - 20 t^{2}

- 1.7 y - 4 = - 4.51

What is factor 12x^2-4xy+9xy-3y^2 ?
The solution to factor 12x^2-4xy+9xy-3y^2 is (3x-y)(4x+3y)