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