What is factor (x-y)^2+(x-y)-2 ?

The solution to factor (x-y)^2+(x-y)-2 is (x-y-1)(x-y+2)

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factor (x-y)^2+(x-y)-2

factor

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

(x - y - 1) (x - y + 2)

Solution steps

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

Break the expression into groups

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

Factor out

(x - y)

from

(x - y)^{2} - (x - y) : (x - y) ((x - y) - 1)

Factor out

2

from

2 (x - y) - 2 : 2 ((x - y) - 1)

= (x - y) ((x - y) - 1) + 2 ((x - y) - 1)

Factor out common term

(x - y) - 1

= ((x - y) - 1) ((x - y) + 2)

Refine

= (x - y - 1) (x + 2 - y)

3 m + m x - 3 n - n x

(x^{3} y^{4}) 2

117

x^{2} + 0 x - 3

(1)^{2} (1 + 3) (1 - 6)

What is factor (x-y)^2+(x-y)-2 ?
The solution to factor (x-y)^2+(x-y)-2 is (x-y-1)(x-y+2)