What is factor (x+y)^2-3(x+y)-18 ?

The solution to factor (x+y)^2-3(x+y)-18 is (x+y+3)(x+y-6)

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factor (x+y)^2-3(x+y)-18

factor

(x + y)^{2} - 3 (x + y) - 18

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

Solution steps

(x + y)^{2} - 3 (x + y) - 18

Break the expression into groups

= ((x + y)^{2} + 3 (x + y)) + (- 6 (x + y) - 18)

Factor out

(x + y)

from

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

Factor out

- 6

from

- 6 (x + y) - 18 : - 6 ((x + y) + 3)

= (x + y) ((x + y) + 3) - 6 ((x + y) + 3)

Factor out common term

(x + y) + 3

= ((x + y) + 3) ((x + y) - 6)

Refine

= (x + y + 3) (x + y - 6)

4.2

3 (2 x - 3)^{2} - (2 x - 3) - 10

35 x n + 21 n - 5 x m - 3 m

[(a + b) + c]^{2}

(m + n) (a - n) + (m + n) (a - n)

What is factor (x+y)^2-3(x+y)-18 ?
The solution to factor (x+y)^2-3(x+y)-18 is (x+y+3)(x+y-6)