Question

Evaluate the product without actual multiplication
101 × 99
​

Answer 1

Answer:

(100+1)(100-1)

(100^-1^)

10000-1)

9999

Answer 2

Answer:

$\huge{\boxed{\rm{\blue{101×99=9999}}}}$

Step-by-step explanation:

Given product : 101×99

It can be written by (100+1)×(100-1)

This is in the form of (a+b)(a-b)

Here, a=100 and b=1

We know that

(a+b)(a-b)=a²-b²

(100+1)×(100-1)=(100)²-(1)²

=> 101×99=10000-1

=>101×99=9999

Therefore 101×99=9999