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)

15 x^{3} - 10 x^{2} + 5 x

\frac{1}{2} + \frac{8}{12}

5 (x + 2) = 7 (4 - x)

2 x^{2} - 9 x + 1 = 0

5 x^{2} + 25 x + 30

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