Question

The value of 102² – 98² is ______.

Options

• 600

• 2400

• 1600

• 800

Answer 1

The value of 102² – 98² is 800.

Explanation:

We use the identity for the difference of squares:

a² – b² = (a + b)(a – b)

Here, a = 102, b = 98

Calculate:

102² – 98² = (102 + 98)(102 – 98)

102² – 98² = 200 × 4

102² – 98² = 800

Therefore, the value of 102² – 98² is 800.