What is factor 3(x+y)^2-4(x+y)-4 ?

The solution to factor 3(x+y)^2-4(x+y)-4 is (3(x+y)+2)(x+y-2)

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factor 3(x+y)^2-4(x+y)-4

factor

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

(3 (x + y) + 2) (x + y - 2)

Solution steps

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

Break the expression into groups

= (3 (x + y)^{2} + 2 (x + y)) + (- 6 (x + y) - 4)

Factor out

(x + y)

from

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

Factor out

- 2

from

- 6 (x + y) - 4 : - 2 (3 (x + y) + 2)

= (x + y) (3 (x + y) + 2) - 2 (3 (x + y) + 2)

Factor out common term

3 (x + y) + 2

= (3 (x + y) + 2) ((x + y) - 2)

Refine

= (x + y - 2) (3 (x + y) + 2)

5 (x + y)^{2} - 17 (x + y) + 6

\frac{63}{1 + 8 e ^{- 315 (5)}}

\frac{d}{d t} ((x) (t^{2}))

- 3 sin (40 t + 50)

4 x + 6 p a - 8 a - 3 p x

What is factor 3(x+y)^2-4(x+y)-4 ?
The solution to factor 3(x+y)^2-4(x+y)-4 is (3(x+y)+2)(x+y-2)