Question

write an expression for the area of the rectangle and simplify your answer. x - 5 x + 5 a =

Explanation:

Step1: Recall area formula

The area formula of a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Here, $l=x + 5$ and $w=x - 5$.
So, $A=(x + 5)(x - 5)$.

Step2: Use difference - of - squares formula

The difference - of - squares formula is $(a + b)(a - b)=a^{2}-b^{2}$. In our case, $a=x$ and $b = 5$.
So, $(x + 5)(x - 5)=x^{2}-5^{2}=x^{2}-25$.

Answer:

$x^{2}-25$