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

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

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factor y^2+xy-2x^2

factor

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

(y - x) (y + 2 x)

Solution steps

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

Break the expression into groups

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

Factor out

y

from

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

Factor out

2 x

from

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

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

Factor out common term

y - x

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

- 2 (x + 6) \geq 3 x - x + 4

16 x - 14 \leq 66

\frac{5 x - 14}{- 3} = - 7

(\frac{1}{1000})^{\frac{2}{3}}

- \frac{x}{4} \leq 2