What is factor (x+y)^2-3(x+y)+2 ?

The solution to factor (x+y)^2-3(x+y)+2 is (x+y-1)(x+y-2)

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factor (x+y)^2-3(x+y)+2

factor

(x + y)^{2} - 3 (x + y) + 2

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

Solution steps

(x + y)^{2} - 3 (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)

m^{3} + 8 a^{3} x^{3}

2 a x + 2 b x + 5 a - a y - b y + 5 b

m x + n x + m y + n y

+ 20 e^{5} f^{2} - 16 e^{2} f

12!

What is factor (x+y)^2-3(x+y)+2 ?
The solution to factor (x+y)^2-3(x+y)+2 is (x+y-1)(x+y-2)