Evaluate: 104 × 97

Solution:

Given, 104 × 97 = (100 + 4) (100 - 3)

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

Here x = 100, a = 4 and b = -3

104 × 97 = (100 + 4) (100 - 3)

= 100² + (4 - 3)100 + (4)(-3)

= 10000 + 100 - 12 = 10088

✦ Try This: Evaluate: 204 × 197

Given, 204 ×1 97 = (200 + 4) (200 - 3)

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

204 × 197 = (200 + 4) (200 - 3)

= 200² + (4 - 3)200 + (4)(-3)

= 40000 + 200 - 12 = 40188

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

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

Evaluate: 104 × 97

Summary:

Evaluating 104 × 97 we get, 10088

☛ Related Questions:

• Evaluate: 101 × 103
• Evaluate: 98 × 103
• Evaluate: (9.9)²