What is factor (x+y)^2-10(x+y)-24 ?

The solution to factor (x+y)^2-10(x+y)-24 is (x+y+2)(x+y-12)

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factor (x+y)^2-10(x+y)-24

factor

(x + y)^{2} - 10 (x + y) - 24

(x + y + 2) (x + y - 12)

Solution steps

(x + y)^{2} - 10 (x + y) - 24

Break the expression into groups

= ((x + y)^{2} + 2 (x + y)) + (- 12 (x + y) - 24)

Factor out

(x + y)

from

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

Factor out

- 12

from

- 12 (x + y) - 24 : - 12 ((x + y) + 2)

= (x + y) ((x + y) + 2) - 12 ((x + y) + 2)

Factor out common term

(x + y) + 2

= ((x + y) + 2) ((x + y) - 12)

Refine

= (x + y + 2) (x + y - 12)

6 + 10

(a^{2} + b^{2}) - 2 ab

[m + n] - 2 mn + n^{2}

3 - 2. 4^{4} + 5^{2} - 6 - 2.4 + 1

k [A]^{n}

What is factor (x+y)^2-10(x+y)-24 ?
The solution to factor (x+y)^2-10(x+y)-24 is (x+y+2)(x+y-12)