Question

Find the product of the binomials using the appropriate special product (difference of two squares, square of a binomial sum, or square of a binomial difference).(x + 5)(x - 5)Keypad

Answer 1

Solution:

The expression is given below as

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

The above expression as difference of two squares will be given below as

$\begin{gathered} (x+5)(x-5)=(x^2-5^2)=x^2-25 \\ \text{note:} \\ (a-b)(a+b)=a^2-b^2 \end{gathered}$

By expansion, we will have

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

Hence,

The final answer is

$x^2-25$