Question

Using suitable identity, find the value of 98².

Answer 1

Given: Find the value of 98².

Step-wise calculation using a suitable identity:

We use the identity for the square of a number near 100, which is:

(a – b)² = a² – 2ab + b² 

Here, a = 100 and b = 2.

Since 98 = 100 – 2.

Calculate:

98² = (100 – 2)² 

98² = 100² – 2 × 100 × 2 + 2² 

98² = 10000 – 400 + 4

98² = 9604