Answer:
The value of given expression is 2499.
Step-by-step explanation:
The given expression is
\(51\cdot 49\)
This expression can be written as
\((50+1)\cdot (50-1)\)
Using the property of algebraic expression we get
\((50+1)\cdot (50-1)=(50)^2-1^2\) \([\because (a-b)(a+b)=a^2-b^2]\)
\((50+1)\cdot (50-1)=2500-1\)
\((50+1)\cdot (50-1)=2499\)
Therefore the value of given expression is 2499.
