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

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

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factor x^2+xy-2y^2

factor

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

(x - y) (x + 2 y)

Solution steps

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

Break the expression into groups

= (x^{2} - x y) + (2 x y - 2 y^{2})

Factor out

x

from

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

Factor out

2 y

from

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

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

Factor out common term

x - y

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

x^{2} + 2 x + 4 = 9

n + n^{2}

2 x - 4 = 11 - x

y^{2 + 2 x y}

- 2 i - (4 - i) 5 i