Question

Evaluate by using suitable identity:(62)^2​

Answer 1

Step-by-step explanation:

(62)² = (60+2)²

(a+b)²=a²+b²+2ab

(60+2)²= 60² + 2² + 2×60×2

(60+2)²=3600+4+ 240

(60+2)² = 3844

Answer 2

Given :   62²

To Find : Evaluate using suitable identity

Solution:

(a + b)²  = a² + 2ab + b²

(a - b)²  = a² - 2ab + b²

(a + b)(a - b) = a² - b²

62²

suitable identity here is

(a + b)²  = a² + 2ab + b²

a = 60

b = 2

=> (60 + 2)² = 60² + 2(60)(2) + 2²

=> 62² = 3600 + 240 + 4

=> 62² = 3844

A different approach using identity  (a + b)(a - b) = a² - b² :

Add and subtract 2²

62² - 2² + 2²

= (62 + 2)(62 - 2) + 4

= (64)(60) + 4

= 3840 + 4

= 3844

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