Evaluate: (49)²

Solution:

Given, (49)² = (50 - 1)²

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

Here, a = 50 and b = 1

(49)² = (50 - 1)² = (50)² - 2(50)(1) + (1)²

= 2500 - 100 + 1

= 2401

✦ Try This: Evaluate: (29)²

Given, (29)² = (30 - 1)²

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

Here, a = 30 and b = 1

(29)² = (30 - 1)² = (30)² - 2(30)(1) + (1)²

= 900 - 60 + 1 = 841

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

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

Evaluate: (49)²

Summary:

Evaluating (49)² using identity we get, 2401

☛ Related Questions:

• Evaluate: (103)²
• Evaluate: (98)²
• Evaluate: (1005)²