What is factor 4x^2+8xy-xy-2y^2 ?

The solution to factor 4x^2+8xy-xy-2y^2 is (4x-y)(x+2y)

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factor 4x^2+8xy-xy-2y^2

factor

4 x^{2} + 8 x y - x y - 2 y^{2}

(4 x - y) (x + 2 y)

Solution steps

4 x^{2} + 8 x y - x y - 2 y^{2}

Add similar elements:

8 x y - x y = 7 x y

= 4 x^{2} + 7 x y - 2 y^{2}

Break the expression into groups

= (4 x^{2} - x y) + (8 x y - 2 y^{2})

Factor out

x

from

4 x^{2} - x y : x (4 x - y)

Factor out

2 y

from

8 x y - 2 y^{2} : 2 y (4 x - y)

= x (4 x - y) + 2 y (4 x - y)

Factor out common term

4 x - y

= (4 x - y) (x + 2 y)

∣ 7 x - 1 ∣ < 15

7 x^{2} - 21

(3^{- 2})^{2}

24 x + 40

(2.5)^{2}

What is factor 4x^2+8xy-xy-2y^2 ?
The solution to factor 4x^2+8xy-xy-2y^2 is (4x-y)(x+2y)