What is the product of (a - 1) and (2a + 2) ?

2a²-2

Step-by-step explanation:

(a-1) (2a+2)

a (2a+2) - 1 (2a+2)

2a²+2a-2a-2

2a²-2

Multiply each term in the first set of parenthesis by each term in the second set, then simply by combining like terms:

(a-1) (2a+2)

a*2a = 2a^2

a*2 = 2a

-1*2a = - 2a

-1*2 = - 2

Now combine:

2a^2 + 2a - 2a - 2

= 2a^2 - 2