Question

If (-x^2 + y^2) is subtracted from (x^2 + y^2), the difference is

A.2x^2
B.0
C. -2x^2
D. —2x^2– 2y^2

Answer 1

If
`(-x^2 + y^2)` is subtracted from
`(x^2 + y^2)`, the difference is:
`\mathbf{2x^2}`

Option A is correct option.

Explanation:

If
`(-x^2 + y^2)` is subtracted from
`(x^2 + y^2)`, we need to find the difference.

When finding the difference the term after from comes first.

We can write:

`(x^2 + y^2)-(-x^2 + y^2)`

Now finding difference:

Multiply minus sign with terms inside the bracket

`=x^2 + y^2+x^2 - y^2`

Now combine the like terms

`x^2 +x^2+ y^2 - y^2\\=2x^2+0\\=2x^2`

So, If
`(-x^2 + y^2)` is subtracted from
`(x^2 + y^2)`, the difference is:
`\mathbf{2x^2}`

Option A is correct option.