Question

What is the product of (5x+1)(5x-1)

Answer 1

25x²-1

..............

Answer 2

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 $25x^2-1.$