The sum of $x^{2} - y^{2}$ and $y^{2} - x^{2}$ is

$0$

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$2 x^{2} - 2 y^{2}$

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$2 y^{2} - 2 x^{2}$

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$x^{4} - y^{4}$

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Solution

The correct option is A
$0$

To add the algebraic expression group the like terms and add the group of like separately.
The sum is
$= (x^{2} - y^{2}) + (y^{2} - x^{2}) = (x^{2} - x^{2}) + (- y^{2} + y^{2}) = 0$
Hence, the sum is $0$
So, the correct option is A

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Question 70

From the sum of $x^{2} - y^{2} - 1, y^{2} - x^{2} - 1$ and $1 - x^{2} - y^{2}$ , subtract $- (1 + y^{2}) .$

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

x^{2} - y^{2} - 1, y^{2} - x^{2} - 1

1 - x^{2} - y^{2}

- (1 + y^{2}) .

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