Answer: The required product is [tex]25x^2-1.[/tex]
Step-by-step explanation: We are given to find the following product :
[tex]P=(5x+1)(5x-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following formula :
[tex](a+b)(a-b)=a^2-b^2.[/tex]
From (i), we get
[tex]P\\\\=(5x+1)(5x-1)\\\\=(5x)^2-1^2\\\\=25x^2-1.[/tex]
Thus, the required product is [tex]25x^2-1.[/tex]
