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

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

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factor 2x^2-xy-y^2

factor

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

(2 x + y) (x - y)

Solution steps

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

Break the expression into groups

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

Factor out

x

from

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

Factor out

- y

from

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

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

Factor out common term

2 x + y

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

- 3 x^{2} - 8 - 10 x = 3

3 - 6 x \geq 16

(x - 3)^{2} = 25

8 (u - 1) - 4 = 4 (2 u - 3)

\frac{2 x}{5} = 5 + \frac{x}{3}