Question

Using Suitable Identity ,Find the value of
(i) (729)2-(271)2 (ii)98x107

Answer 1

(i) 458000 (ii) 10486

Explanation:

(i) (729)²-(271)²

The identity is :
`a^2-b^2=(a-b)(a+b)`

(729)²-(271)² = (729-271) × (729+271)

= 458 × 1000

= 458000

(ii) 98x107 = (100-2) (100+7)

Idenity :
`(x-a)(x-b) = x^2+(a+b)x+ab`

`(100-2) (100+7)=100^2+(-2+7)100+(-2)(7)\\\\=10000+500-14\\\\=10486`

Hence, this is the required solution.