Evaluate: 105 × 95

Solution:

Given, 105 × 95 = (100 + 5) (100 - 5)

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

Here a = 100 and b = 5

105 × 95 = (100 + 5) (100 - 5)

= 100² - 5²

= 10000 - 25 = 9975

✦ Try This: Evaluate: 109 × 91

Given, 109 × 91 = (100 + 9) (100 - 9)

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

109 × 91 = (100 + 9) (100 - 9)

= 100² - 9²

= 10000 - 81 = 9919

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

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

Evaluate: 105 × 95

Summary:

Evaluating 105 × 95 we get, 9975

☛ Related Questions:

• Evaluate: 104 × 97
• Evaluate: 101 × 103
• Evaluate: 98 × 103