Evaluate: (52)²

Solution:

Given, (52)² = (50 + 2)²

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

Here, a = 50 and b = 2

52² = (50 + 2)² = (50)² + 2(50)(2) + (2)²

= 2500 + 200 + 4

= 2704

✦ Try This: Evaluate : 34²

Given, 34² = (30 + 4)²

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

Here, a = 30 and b = 4

34² = (30 + 4)² = (30)² + 2(30)(4) + (4)²

= 900 + 240 + 16

= 1156

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

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

Evaluate: (52)²

Summary:

Evaluating (52)² using identity we get, 2704

☛ Related Questions:

• Evaluate: (49)²
• Evaluate: (103)²
• Evaluate: (98)²