Question

Complete the following: (r-s)^2 = (___)^2 -(___)rs + s^2

Answer 1

First blank has the value r.

Second blank has the value 2

Explanation:

The given equation on the left side is
`( r- s)^(2)`

Now, ALGEBRAIC IDENTITY states that

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

Here, comparing a = r and b = s, we get

`( r- s)^(2)` =
`r^(2)  + s^(2) -  2 * r * s`

So, the first blank has the value r.

Second blank has the value 2