Question

101 into 99 evaluate the following product without actual multiplication​

Answer 1

Answer:

The product is 101\times 99=9999101×99=9999

Step-by-step explanation:

Given : Expression 101\times 99101×99

To find : Evaluate the given product without actual multiplication ?

Solution :

We can write product as,

101\times 99=(100+1)\times (100-1)101×99=(100+1)×(100−1)

We know, (a+b)(a-b)=a^2-b^2(a+b)(a−b)=a2−b2

101\times 99=(100+1)(100-1)101×99=(100+1)(100−1) here a=100 , b=1

101\times 99=(100)^2-(1)^2101×99=(100)2−(1)2

101\times 99=10000-1101×99=10000−1

101\times 99=9999101×99=9999

Therefore, The product is 101\times 99=9999101×99=9999

Step-by-step explanation:

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