Evaluate: (995)²

Solution:

Given, (995)² = (1000 - 5)²

Using standard identity: (a - b)² = a² - 2ab + b²

Here, a = 1000 and b = 5

(995)² = (1000 - 5)² = (1000)² - 2(1000)(5) + (5)²

= 1000000 - 10000 + 25

= 990025

✦ Try This: Evaluate: (993)²

Given, (993)² = (1000 - 7)²

Using standard identity: (a - b)² = a² - 2ab + b²

Here, a = 1000 and b = 7

(993)² = (1000 - 7)² = (1000)² - 2(1000)(7) + (7)²

= 1000000 - 14000 + 49 = 986049

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

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

Evaluate: (995)²

Summary:

Evaluating (995)² we get, 990025

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