What is factor (a+b)^2-(a+b)-6 ?

The solution to factor (a+b)^2-(a+b)-6 is (a+b+2)(a+b-3)

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factor (a+b)^2-(a+b)-6

factor

(a + b)^{2} - (a + b) - 6

(a + b + 2) (a + b - 3)

Solution steps

(a + b)^{2} - (a + b) - 6

Break the expression into groups

= ((a + b)^{2} + 2 (a + b)) + (- 3 (a + b) - 6)

Factor out

(a + b)

from

(a + b)^{2} + 2 (a + b) : (a + b) ((a + b) + 2)

Factor out

- 3

from

- 3 (a + b) - 6 : - 3 ((a + b) + 2)

= (a + b) ((a + b) + 2) - 3 ((a + b) + 2)

Factor out common term

(a + b) + 2

= ((a + b) + 2) ((a + b) - 3)

Refine

= (a + b + 2) (a + b - 3)

15 x + 18 x

4^{2} + 4^{2} + 4^{2} + 4^{2}

(6 x - 6) + h

\frac{d}{d t} ((s) (6 sin (2 t)))

- \frac{- ( 4 ) + 66}{2}

What is factor (a+b)^2-(a+b)-6 ?
The solution to factor (a+b)^2-(a+b)-6 is (a+b+2)(a+b-3)