What is factor (x+y)^2-5(x+y)+6 ?

The solution to factor (x+y)^2-5(x+y)+6 is (x+y-2)(x+y-3)

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factor (x+y)^2-5(x+y)+6

factor

(x + y)^{2} - 5 (x + y) + 6

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

Solution steps

(x + y)^{2} - 5 (x + y) + 6

Break the expression into groups

= ((x + y)^{2} - 2 (x + y)) + (- 3 (x + y) + 6)

Factor out

(x + y)

from

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

Factor out

- 3

from

- 3 (x + y) + 6 : - 3 ((x + y) - 2)

= (x + y) ((x + y) - 2) - 3 ((x + y) - 2)

Factor out common term

(x + y) - 2

= ((x + y) - 2) ((x + y) - 3)

Refine

= (x + y - 2) (x + y - 3)

\frac{x ^{2} + x - 12}{x - 3}

s^{2} + sz + 5 s n + 5 z n

42 r^{2} - 49 r^{2} + 18 r - 21

(x - 2) 2 - 4 (x - 2)

8 x^{2} y

What is factor (x+y)^2-5(x+y)+6 ?
The solution to factor (x+y)^2-5(x+y)+6 is (x+y-2)(x+y-3)