What is factor 12x^2-8xy-15y^2 ?

The solution to factor 12x^2-8xy-15y^2 is (6x+5y)(2x-3y)

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factor 12x^2-8xy-15y^2

factor

12 x^{2} - 8 x y - 15 y^{2}

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

Solution steps

12 x^{2} - 8 x y - 15 y^{2}

Break the expression into groups

= (12 x^{2} + 10 x y) + (- 18 x y - 15 y^{2})

Factor out

2 x

from

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

Factor out

- 3 y

from

- 18 x y - 15 y^{2} : - 3 y (6 x + 5 y)

= 2 x (6 x + 5 y) - 3 y (6 x + 5 y)

Factor out common term

6 x + 5 y

= (6 x + 5 y) (2 x - 3 y)

\frac{5 x - 10}{3} \cdot \frac{12}{x - 2}

2 x^{2} + x - 36

512 - 227

50 \cdot 3

16 \cdot 16 \cdot 16

What is factor 12x^2-8xy-15y^2 ?
The solution to factor 12x^2-8xy-15y^2 is (6x+5y)(2x-3y)