What is factor x^2+3xy-18y^2 ?

The solution to factor x^2+3xy-18y^2 is (x-3y)(x+6y)

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factor x^2+3xy-18y^2

factor

x^{2} + 3 x y - 18 y^{2}

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

Solution steps

x^{2} + 3 x y - 18 y^{2}

Break the expression into groups

= (x^{2} - 3 x y) + (6 x y - 18 y^{2})

Factor out

x

from

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

Factor out

6 y

from

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

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

Factor out common term

x - 3 y

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

15 < - \frac{2}{3} (x - 18)

2 (x + 3) \leq 3 - x

y^{2} + 8 y = 10

5 n^{2} - 20

- 6 x - 12 < 54

What is factor x^2+3xy-18y^2 ?
The solution to factor x^2+3xy-18y^2 is (x-3y)(x+6y)