Question

How are the following three expressions different from each other, if needed they are? Do not just state the value of each but explain what may be same or different.

That what my teacher said I’m confused plz help
Thank u so much to the people who helped me answer it.

Answer 1

2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it

1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.

Explanation:

We are given the three expressions different from each other

We are supposed to find what may be same or different.

1)
`(-2)^2`

`\Rightarrow (-1)^2 * (2)^2\\\Rightarrow -1 * -1 * 2 * 2 \\\Rightarrow 4`

2)
`-2^2`

`\Rightarrow -1 * 2^2\\\Rightarrow -1 * 2 * 2 \\\Rightarrow -4`

3)
`-(2)^2`

`\Rightarrow -1 * (2)^2\\\Rightarrow -1 * 2 * 2 \\\Rightarrow -4`

Now 2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it

1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.