Question

Simplify (5x + 1)(5x - 1) using the difference of squares formula.

Answer 1

Given

$(5x+1)(5x-1)$

To simplify this expression the first step is to solve the multiplication between the terms in parentheses by applying the distributive property of multiplication. This means that you have to multiply each term of the first parentheses by each term of the second parentheses:

$\begin{gathered} (5x\cdot5x)+(5x\cdot-1)+(1\cdot5x)+(1\cdot(-1)) \\ 25x^2-5x+5x-1 \end{gathered}$

Next is to simplify the like terms to determine the simplified form

$25x^2-1$

The correct option is B.