Which of the folllowing is obtained by subtracting x^2 - y^2 from y^2 - x^2?Question 31Answera.2(x^2 + y^2)b.2(x^2 - y^2)c.-2(x^2 + y^2)d.-2(x^2 - y^2)

The subtraction of two algebraic expressions is done by subtracting the corresponding terms of the expressions.

Given expressions are y^2 - x^2 and x^2 - y^2.

Step 1: Write down the expressions:

y^2 - x^2 x^2 - y^2

Step 2: Subtract the second expression from the first:

(y^2 - x^2) - (x^2 - y^2)

Step 3: Distribute the negative sign in the second expression:

y^2 - x^2 - x^2 + y^2

Step 4: Combine like terms:

2y^2 - 2x^2

So, the result of subtracting x^2 - y^2 from y^2 - x^2 is 2y^2 - 2x^2.

In terms of the answer choices given, this corresponds to -2(x^2 - y^2), so the correct answer is (d) -2(x^2 - y^2).