Find the value of [198 × 198 - 102 × 102] / 96

Solution:

Given, [(198 × 198) - (102 × 102)] / 96 = [(198)² - (102)²] / 96

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

⇒ [(198)² - (102)²] / 96

= [(198 + 102) (198 - 102)] / 96

= [300 × 96] / 96

= 300

✦ Try This: Find the value of [(264 × 264) - (112 × 112)] / 64

Given, [(264 × 264) - (112 × 112)] / 64 = [(264)² - (112)²]/64

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

⇒ [(264)² - (112)²]/64 = [(264 - 112)(264 + 112)]/64

= (152)(376)/64

= 893

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

NCERT Exemplar Class 8 Maths Chapter 7 Problem 120 (ii)

Find the value of [198 × 198 - 102 × 102] / 96

Summary:

The value of [(198 × 198) - (102 × 102)] / 96 is 300

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