What is factor (x+y)^2-2(x+y)-15 ?

The solution to factor (x+y)^2-2(x+y)-15 is (x+y+3)(x+y-5)

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factor (x+y)^2-2(x+y)-15

factor

(x + y)^{2} - 2 (x + y) - 15

(x + y + 3) (x + y - 5)

Solution steps

(x + y)^{2} - 2 (x + y) - 15

Break the expression into groups

= ((x + y)^{2} + 3 (x + y)) + (- 5 (x + y) - 15)

Factor out

(x + y)

from

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

Factor out

- 5

from

- 5 (x + y) - 15 : - 5 ((x + y) + 3)

= (x + y) ((x + y) + 3) - 5 ((x + y) + 3)

Factor out common term

(x + y) + 3

= ((x + y) + 3) ((x + y) - 5)

Refine

= (x + y + 3) (x + y - 5)

f (x) (x)^{4^{^{'}}}

sec (x) t a g (x) d x

(x + y)^{2} - 7 (x + y) + 10

16 + 40 + 25

k r + kb - p r - p b

What is factor (x+y)^2-2(x+y)-15 ?
The solution to factor (x+y)^2-2(x+y)-15 is (x+y+3)(x+y-5)