Discussion
Which of the following is obtained by subtracting x²-y² from y² - x² ?
Answer: A
Subtracting means taking the first expression away from the second.
\[ (y^{2} - x^{2}) - (x^{2} - y^{2}) = y^{2} - x^{2} - x^{2} + y^{2} \]
\[ = 2y^{2} - 2x^{2} = -2(x^{2} - y^{2}) \]
The bracket's signs both flip when it is subtracted - missing that gives 0 instead.
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