What is factor 2x^2-5xy-18y^2 ?

The solution to factor 2x^2-5xy-18y^2 is (x+2y)(2x-9y)

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factor 2x^2-5xy-18y^2

factor

2 x^{2} - 5 x y - 18 y^{2}

(x + 2 y) (2 x - 9 y)

Solution steps

2 x^{2} - 5 x y - 18 y^{2}

Break the expression into groups

= (2 x^{2} + 4 x y) + (- 9 x y - 18 y^{2})

Factor out

2 x

from

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

Factor out

- 9 y

from

- 9 x y - 18 y^{2} : - 9 y (x + 2 y)

= 2 x (x + 2 y) - 9 y (x + 2 y)

Factor out common term

x + 2 y

= (x + 2 y) (2 x - 9 y)

25 x^{2} + 16 = 0

3 x^{2} + 2 = 7 x

2 (\frac{x}{3} + 5) = \frac{2 x}{4} + 4

3 x = \frac{1}{2} - 9 + \frac{3}{2}

x - 4 = 2

What is factor 2x^2-5xy-18y^2 ?
The solution to factor 2x^2-5xy-18y^2 is (x+2y)(2x-9y)