Evaluate: 52 × 53

Solution:

Given, 52 × 53 = (50 + 2)(50 + 3)

Using standard identity: (x + a) (x + b) = x² + (a + b)x + ab

Here x = 50, a = 2 and b = 3

52 × 53 = (50 + 2)(50 + 3)

= 50² + (2 + 3)50 + (2 × 3)

= 2500 + 250 + 6 = 2756

✦ Try This: Evaluate: 65 × 68

Given, 65 × 68 = (60 + 5)(60 + 8)

Using standard identity: (x + a) (x + b) = x² + (a + b)x + ab

65 × 68 = (60 + 5)(60 + 8)

= 60² + (5 + 8)60 + (5 × 8)

= 3600 + 780 + 40 = 4420

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

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

Evaluate: 52 × 53

Summary:

Evaluating 52 × 53 we get, 2756

☛ Related Questions:

• Evaluate: 105 × 95
• Evaluate: 104 × 97
• Evaluate: 101 × 103