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)

(sin (x) - cos (x))^{2}

lo g_{3} (\frac{1}{3 3})

3 t^{2} - 18 t + 24

2 7^{1 - l o g_{3} (4)}

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