What is factor 5x^2-13xy+6y^2 ?

The solution to factor 5x^2-13xy+6y^2 is (5x-3y)(x-2y)

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factor 5x^2-13xy+6y^2

factor

5 x^{2} - 13 x y + 6 y^{2}

(5 x - 3 y) (x - 2 y)

Solution steps

5 x^{2} - 13 x y + 6 y^{2}

Break the expression into groups

= (5 x^{2} - 3 x y) + (- 10 x y + 6 y^{2})

Factor out

x

from

5 x^{2} - 3 x y : x (5 x - 3 y)

Factor out

- 2 y

from

- 10 x y + 6 y^{2} : - 2 y (5 x - 3 y)

= x (5 x - 3 y) - 2 y (5 x - 3 y)

Factor out common term

5 x - 3 y

= (5 x - 3 y) (x - 2 y)

2 x = 8 x - x^{2}

2 x + 5 = - x^{2}

7 v - 3 v = 36

x^{2} + 4 x = 27

x^{4} \cdot x^{5}

What is factor 5x^2-13xy+6y^2 ?
The solution to factor 5x^2-13xy+6y^2 is (5x-3y)(x-2y)