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 + y - 2)

π d^{2} + π^{10} d^{2} \cdot 2

[3.6]

32 x^{2} - 8 x^{2}

y x e^{- 2 y} - y x e^{- y}

y^{5} + m^{5} b^{5}

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)