Evaluate: (103)²

Solution:

Given, (103)² = (100 + 3)²

Using standard identity: (a + b)² = a² + 2ab + b²

Here, a = 100 and b = 3

103² = (100 + 3)² = (100)² + 2(100)(3) + (3)²

= 10000 + 600 + 9

= 10609

✦ Try This: Evaluate: (205)²

Given, (205)² = (200 + 5)²

Using standard identity: (a + b)² = a² + 2ab + b²

Here, a = 200 and b = 5

205² = (200 + 5)² = (200)² + 2(200)(5) + (5)²

= 40000 +2000 + 25 = 42025

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

NCERT Exemplar Class 8 Maths Chapter 7 Problem 86(iii)

Evaluate: (103)²

Summary:

Evaluating (103)² we get, 10609

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