Question

If a=23*54 and b=22*52 then what is the value of a*b

Answer 1

Answer:

1420848

Step-by-step explanation:

a = 23 * 54

b = 22 * 52

The above numbers can be re-written as

a = 23 * 54 = 23 * (53 + 1)

b = 22 * 52 = 22 * (53 - 1)

a * b = 23 * (53 + 1) * 22 * (53 - 1)

        = 23 * 22 * (53² - 1²)   (∵ we know that (a + b)(a-b) = a² - b²)

         = 506 * 2808

         = 1420848