What is factor (x+y)^2-12(x+y)+20 ?

The solution to factor (x+y)^2-12(x+y)+20 is (x+y-2)(x+y-10)

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factor (x+y)^2-12(x+y)+20

factor

(x + y)^{2} - 12 (x + y) + 20

(x + y - 2) (x + y - 10)

Solution steps

(x + y)^{2} - 12 (x + y) + 20

Break the expression into groups

= ((x + y)^{2} - 2 (x + y)) + (- 10 (x + y) + 20)

Factor out

(x + y)

from

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

Factor out

- 10

from

- 10 (x + y) + 20 : - 10 ((x + y) - 2)

= (x + y) ((x + y) - 2) - 10 ((x + y) - 2)

Factor out common term

(x + y) - 2

= ((x + y) - 2) ((x + y) - 10)

Refine

= (x + y - 2) (x + y - 10)

(x + 5)^{2} - 2 (x + 5) - 63

(x + 1)^{2} - 6

[f (x) (g (x))]^{^{'}}

+ (13 x^{2} - 17 x - 1)

\frac{2 x ^{2} - x - 3}{x + 1}

What is factor (x+y)^2-12(x+y)+20 ?
The solution to factor (x+y)^2-12(x+y)+20 is (x+y-2)(x+y-10)