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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


Sagot :

Answer:

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

Option A is correct option.

Step-by-step explanation:

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

When finding the difference the term after from comes first.

We can write:

[tex](x^2 + y^2)-(-x^2 + y^2)[/tex]

Now finding difference:

Multiply minus sign with terms inside the bracket

[tex]=x^2 + y^2+x^2 - y^2[/tex]

Now combine the like terms

[tex]x^2 +x^2+ y^2 - y^2\\=2x^2+0\\=2x^2[/tex]

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

Option A is correct option.