Answer:
(i) 458000 (ii) 10486
Step-by-step explanation:
(i) (729)²-(271)²
The identity is : [tex]a^2-b^2=(a-b)(a+b)[/tex]
(729)²-(271)² = (729-271) × (729+271)
= 458 × 1000
= 458000
(ii) 98x107 = (100-2) (100+7)
Idenity : [tex](x-a)(x-b) = x^2+(a+b)x+ab[/tex]
[tex](100-2) (100+7)=100^2+(-2+7)100+(-2)(7)\\\\=10000+500-14\\\\=10486[/tex]
Hence, this is the required solution.
