Find the value of (38² - 22²) / 16 , using a suitable identity

Solution:

For the numerator, the identity a² - b² = (a - b) (a + b) can be used

Here, a = 38 and b = 22

Therefore, (38² - 22²) / 16 = [(38 - 22) (38 + 22)] / 16

= [16 × 60] / 16

= 960/16

= 60

✦ Try This: Find the value of (22² - 8²)/ 14, Using a suitable identity

For the numerator, a² - b² = (a - b) (a + b) can be used

Here, a =22 and b = 8

∴ (22² - 8²)/ 14 = [(22+8)(22 - 8)]/14

= [30 × 14]/14

= 420/14

= 30

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

NCERT Exemplar Class 8 Maths Chapter 7 Sample Problem 19

Summary:

The value of (38² - 22²) / 16 is 60

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