Question

x + y is a factor of .

• A. x² - y²
• B. x² + y²
• C. (x - y)²

Answer 1

The correct option is A x² - y²

We already know that, $a^2-b^2=(a+b)(a-b)$

$\text{If}a=x\text{and}b=y\text{then,}x²-y²=(x-y)(x+y)$

So, it is clear that, $x+y$ is a factor of $x^2-y^2$.