Question

Complete the following: [(x − y) − 3][(x − y) +3]= (____)^2- 9

Answer 1

Complete expression will be
`(x-y)^2-9`

Explanation:

We have given expression
`[(x-y)-3][(x-y)+3]=(....)^2-9`

We have to complete the expression

We know the algebraic equation
`(a+b)(a-b)=a^2-b^2`

So
`[(x-y)-3][(x-y)+3]` can be written as
`(x-y)^2-9`

So in place of blank space there will be
`(x-y)^2`

And the complete expression will be
`(x-y)^2-9`