1/2{(a + b)² - (a

1/2{(a + b)² - (a - b)²} = ?

A 2ab

B a²+b²

C a²-b²

D (a+b)³

Solution

Correct Answer: Option A

(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²

1/2{(a + b)² - (a - b)²}
= 1/2{(a² + 2ab + b²) - (a² - 2ab + b²)}
= 1/2{a² + 2ab + b² - a² + 2ab - b²}
= 1/2{4ab}
= 2ab

Solution

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