What is factor (x+y)^2-9(x+y)+20 ?

The solution to factor (x+y)^2-9(x+y)+20 is (x+y-4)(x+y-5)

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factor (x+y)^2-9(x+y)+20

factor

(x + y)^{2} - 9 (x + y) + 20

(x + y - 4) (x + y - 5)

Solution steps

(x + y)^{2} - 9 (x + y) + 20

Break the expression into groups

= ((x + y)^{2} - 4 (x + y)) + (- 5 (x + y) + 20)

Factor out

(x + y)

from

(x + y)^{2} - 4 (x + y) : (x + y) ((x + y) - 4)

Factor out

- 5

from

- 5 (x + y) + 20 : - 5 ((x + y) - 4)

= (x + y) ((x + y) - 4) - 5 ((x + y) - 4)

Factor out common term

(x + y) - 4

= ((x + y) - 4) ((x + y) - 5)

Refine

= (x + y - 4) (x + y - 5)

(A + B t^{1}) (A + B t^{2})

f (x) - e^{2 x}

(y + 1)^{3} - 27 y^{3}

C (11.7)

5 + (2 x + 3) 2 - (3 x + 2) (x + 1)

What is factor (x+y)^2-9(x+y)+20 ?
The solution to factor (x+y)^2-9(x+y)+20 is (x+y-4)(x+y-5)