Question

Using the identities, find the following (3/2 a - 2/3 b) (3/2 a - 2/3 b) ?

Answer 1

`(3/2 a - 2/3 b) (3/2 a - 2/3 b)=9/4a^2-2ab+4/9b^2`

Explanation:

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

`(3/2a-2/3b)(3/2a-2/3b)`

= `(3/2a)^2-2(3/2a)(2/3b)+(2/3b)^2`

= `9/4a^2-2ab+4/9b^2`