A pattern is given as

76 × 9 = 76 × (10 – 1)

76 × 99 = 76 × (100 – 1)

76 × 999 = 76 × (1000 – 1)

A student observes this pattern and uses it to calculate the product of the numbers 92 and 9999.

Which expression does the student obtain?

It can be seen in the given pattern that, 9 can be written as (10 – 1).

99 can be written as (100 – 1).

999 can be written as (1000 – 1).

Thus, 92 × 9999 can be expressed as

92 × 9999 = 92 × (10000 – 1)                ...  [9999 = 10000 – 1]

= 92 × 10000 – 92 × 1                           ...  [Using distributive property]

= 920000 – 92