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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

= (6 x^{2} + 4 x y) + (- 9 x y - 6 y^{2})

Factor out

2 x

from

6 x^{2} + 4 x y : 2 x (3 x + 2 y)

Factor out

- 3 y

from

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

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

Factor out common term

3 x + 2 y

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

(\frac{- 2 x ^{2}}{4 y ^{4}})^{- 3}

x^{2} + 3 x = 54

4 r^{2} - 12 r + 9 = 0

\frac{4}{5 x} + \frac{1}{10} < \frac{3}{2 x}

- 0.000005 x^{2} + 0.0004 x + 0.4983 = 0

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