101*99, Evaluate the given product without actual multiplication.

1.	101*99, Evaluate the given product without actual multiplication.
Answer» ANSWER: The product is $101\times 99=9999$ Step-by-step EXPLANATION: Given : Expression $101\times 99$ To FIND : Evaluate the given product without actual MULTIPLICATION ? Solution : We can write product as, $101\times 99=(100+1)\times (100-1)$ We know, $(a+b)(a-b)=a^2-b^2$ $101\times 99=(100+1)(100-1)$ here a=100 , b=1 $101\times 99=(100)^2-(1)^2$ $101\times 99=10000-1$ $101\times 99=9999$ Therefore, The product is $101\times 99=9999$

Answer»

The product is $101\times 99=9999$