Evaluate: (1005)²

Solution:

Given, (1005)² = (1000 + 5)²

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

Here, a = 1000 and b = 5

(1005)² = (1000 + 5)² = (1000)² + 2(1000)(5) + (5)²

= 1000000 + 10000 + 25

= 1010025

✦ Try This: Evaluate: (1105)²

Given, (1105)² = (1100 + 5)²

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

Here, a = 1100 and b = 5

(1105)² = (1100 + 5)² = (1100)² + 2(1100)(5) + (5)²

= 1210000 + 11000 + 25 = 1221025

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

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

Evaluate: (1005)²

Summary:

Evaluating (1005)² we get, 1010025

☛ Related Questions:

• Evaluate: (995)²
• Evaluate: 47 × 53
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