Question

A2 - 1 - 2a + 2
expanding double brackets

Answer 1

To expand the expression (a - 1)(a - 2), we can use the FOIL method, which stands for First, Outer, Inner, Last.

First, we multiply the first terms of each binomial:

(a) * (a) = a^2

Outer, we multiply the outer terms of each binomial:

(a) * (-2) = -2a

Inner, we multiply the inner terms of each binomial:

(-1) * (a) = -a

Last, we multiply the last terms of each binomial:

(-1) * (-2) = 2

Now, we combine the results of these multiplications:

a^2 - 2a - a + 2

Simplifying further:

a^2 - 3a + 2

Therefore, the expansion of (a - 1)(a - 2) is a^2 - 3a + 2.