Question

find the value of 108×92using suitable formula

Answer 1

108 × 92

= (100+8) × (100-8)

by the formula $a^2 -b^2= (a+b)(a-b)$

= [tex](100)^2- (8)^2 [/tex]


= 10000 - 64

= 9936


i hope this will help you


-by ABHAY

Answer 2

Solution :

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Given :

To find the value of 108 x 92, using suitable formula

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We know that,

⇒ 108 = 100 + 8

&

⇒ 92 = 100 - 8

Hence,

The given data is of the form :

(a - b) (a + b) where a = 100 & b = 8

We know the identity that,

(a - b)(a + b) = a² - b²

Hence,

⇒ 108 x 92

⇒ (100 + 8)(100 - 8) = (100)² - (8)²

⇒ (100 x 100) - (8 x 8)

⇒ 10,000 - 64

⇒ 9936

Hence, the value of

⇒ 108 x 92 = 9936

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