Answer:
The product of 109 and 91 is 9919.
Step-by-step explanation:
Given two numbers as 109 and 91 .
We have to find the product of two numbers.
To multiply the two numbers lets first write them in simple form so that finding product will be easy.
109 can be written as ( 100+9 ) and 91 can be written as (100 - 9)
Thus, the product is written as,
[tex]109 \times 91=(100+9)\times (100-9)[/tex]
Using algebraic identity, [tex](a+b)(a-b)=a^2-b^2[/tex]
[tex]\Rightarrow (100+9)\times (100-9)=(100)^2-9^2=10000-81=9919[/tex]
Thus the product of 109 and 91 is 9919.
