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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

2 x

from

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

Factor out

y

from

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

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

Factor out common term

4 x - y

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

8 x^{2} y - 3 y^{2} \cdot 2 a x^{3}

3 x 1 0^{2}

\frac{- 4 + 3}{2}

596

(8 - 2)^{2}

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