Find the value of a, if 8a = 35² - 27²

Solution:

Given, 8a = 35² - 27²

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

⇒ 8a = (35 + 27) (35 - 27)

⇒ 8a = 62 × 8

⇒ a = 62

✦ Try This:Find the value of ‘p’, if 13p = 7³ + 6³

Given, 13p = 7³ + 6³

Using the standard identity, a³ + b³ = (a + b) (a² - ab + b²)

⇒13p = (7 + 6)(7² - (7)(6) + 6²)

⇒13p = (13)(49 - 42 + 36)

⇒ p = 43

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

NCERT Exemplar Class 8 Maths Chapter 7 Problem 114(i)

Find the value of a, if 8a = 35² - 27²

Summary:

The value of a, if 8a = 35² - 27² is 62

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