What is factor 5x^2-19xy+12y^2 ?

The solution to factor 5x^2-19xy+12y^2 is (5x-4y)(x-3y)

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factor 5x^2-19xy+12y^2

factor

5 x^{2} - 19 x y + 12 y^{2}

(5 x - 4 y) (x - 3 y)

Solution steps

5 x^{2} - 19 x y + 12 y^{2}

Break the expression into groups

= (5 x^{2} - 4 x y) + (- 15 x y + 12 y^{2})

Factor out

x

from

5 x^{2} - 4 x y : x (5 x - 4 y)

Factor out

- 3 y

from

- 15 x y + 12 y^{2} : - 3 y (5 x - 4 y)

= x (5 x - 4 y) - 3 y (5 x - 4 y)

Factor out common term

5 x - 4 y

= (5 x - 4 y) (x - 3 y)

4 (x - 1) > x^{2} + 9

3 x^{2} + 30 x + 50 = 0

3 x^{2} + 6 x + 3 = 0

x - 6 = - x^{2}

3 (x + 3) + x = 2 (x - 1) + 3

What is factor 5x^2-19xy+12y^2 ?
The solution to factor 5x^2-19xy+12y^2 is (5x-4y)(x-3y)