Question

Which of the following is obtained by subtracting x2-y2 from y2 - x2?
I. -2(x2-y2)
II. -2(x2 + y2)
III. 2(x2+ y2)
IV. 2(x2- y2)

Answer 1

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Answer 2

Given,

Two algebraic expressions x² - y² and y² - x².

To find,

What is obtained after subtracting x² - y² from y² - x².

Solution,

On subtracting x² - y² from y² - x² we get,

⇒   y² - x² - ( x² - y²).

The sign will change after opening the brackets and hence we would get,

⇒    y² - x² - x² + y².

⇒   2y² - 2x²

Taking 2 as common in both the terms x² and y² we get,

⇒   2(y²-x²).

It can also be represented as -2(x²-y²).

Hence,  2(y²-x²) is obtained after subtracting x² - y² from y² - x². (Option 1)