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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

x

from

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

Factor out

4 y

from

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

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

Factor out common term

x - 2 y

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

4 \cdot 64

m^{2} + 8 m - 81 = 0

(7 x - 2)^{2} = 16

2 z + 4 \geq - 4

lo g_{8} (64)

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