What is factor 6x^2-7xy-5y^2 ?

The solution to factor 6x^2-7xy-5y^2 is (2x+y)(3x-5y)

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factor 6x^2-7xy-5y^2

factor

6 x^{2} - 7 x y - 5 y^{2}

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

Solution steps

6 x^{2} - 7 x y - 5 y^{2}

Break the expression into groups

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

Factor out

3 x

from

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

Factor out

- 5 y

from

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

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

Factor out common term

2 x + y

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

3 x^{2} + 6 x - 18

\frac{5}{7} + \frac{1}{5}

(- 3)^{a} \cdot 4^{a}

x^{2} - 10 x y - 56 y^{2}

(3 a^{2} b^{3} c)^{2}

What is factor 6x^2-7xy-5y^2 ?
The solution to factor 6x^2-7xy-5y^2 is (2x+y)(3x-5y)