If a + b = 24 and (a − b)² = 268, find the value of product of a and b.

Correct option is A

Given:

a + b = 24

(a - b)² = 268

We need to find the value of the product a × b

Formula Used:

(a + b)² - (a - b)² = 4ab 

Solution: ​

(a + b)² = 24² = 576 

Now, 

4ab = (a + b)² - (a - b)²​

4ab = 576 - 268

ab = $$\frac{308}{4}$$​ = 77