What is factor 2x^2+3xy-9y^2 ?

The solution to factor 2x^2+3xy-9y^2 is (2x-3y)(x+3y)

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factor 2x^2+3xy-9y^2

factor

2 x^{2} + 3 x y - 9 y^{2}

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

Solution steps

2 x^{2} + 3 x y - 9 y^{2}

Break the expression into groups

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

Factor out

x

from

2 x^{2} - 3 x y : x (2 x - 3 y)

Factor out

3 y

from

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

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

Factor out common term

2 x - 3 y

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

3 x^{2} - 32 x - 11

x^{2} = 20

6 n^{2} + 20 n \leq 50 n^{3}

- 4 \leq - 2 (x + 8) < 8

3 x^{2} - 6 x + 11 = 0

What is factor 2x^2+3xy-9y^2 ?
The solution to factor 2x^2+3xy-9y^2 is (2x-3y)(x+3y)