Sure, let's expand and simplify the given expression step by step.
We start with the expression:
[tex]\[
(7 + x)(7 - x)
\][/tex]
This expression is a product of two binomials. To expand it, we can use the difference of squares formula, which states:
[tex]\[
(a + b)(a - b) = a^2 - b^2
\][/tex]
In our case, [tex]\(a = 7\)[/tex] and [tex]\(b = x\)[/tex]. Applying the formula to our expression:
[tex]\[
(7 + x)(7 - x) = 7^2 - x^2
\][/tex]
Next, we compute the squares:
[tex]\[
7^2 = 49
\][/tex]
[tex]\[
x^2\ = x^2
\][/tex]
Substituting these back into the expression, we get:
[tex]\[
7^2 - x^2 = 49 - x^2
\][/tex]
So, the expanded form of the given expression is:
[tex]\[
(7 + x)(7 - x) = 49 - x^2
\][/tex]
