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