Question

evaluate 62 by suitable identity

Answer 1

The complete question:

Evaluate $62^2$ by suitable identity.

Solution:

∴ $62^2=(60+2)^2$

Using the algebraic identity:

$(a+b)^2=a^2+2ab+b^2$

Here, a = 60 and b = 2

∴ $(60+2)^2=60^2+2.60.2+2^2$

                 = 3600 + 240 + 4

                 = 3844

∴ $62^2$ = 3844

Thus, the value of $62^2$ by suitable identity is "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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