Question

2.
a) Expand: a² - b²​

Answer 1

`(a-b)(a+b)`

Explanation:

This particular pattern:
`a^2-b^2`; is the difference of squares pattern.

Difference of Squares Pattern:
`(a-b)(a+b)=a^2-b^2`

There are other square of binomial patterns (though the difference of squares pattern isn't really a square of binomial, I learned these three at the same time)

`(a+b)^2=a^2+2ab+b^2`

`(a-b)^2=a^2-2ab+b^2`

Answer 2

Explanation:

a^2-b^2

(a-b)(a+b)