Exams › SSC CGL (Prelims) › General

Simplify: (a + b)^2 - (a - b)^2

1. 2(a^2 + b^2)
2. 4(a^2 + b^2)
3. 8ab
4. 4ab

Correct answer: 4ab

Solution

(a+b)^2 - (a-b)^2 = (a^2+2ab+b^2) - (a^2-2ab+b^2) = 4ab. The a^2 and b^2 terms cancel, leaving 4ab.

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