To find the value of [tex]\((x - y)^2\)[/tex] given that [tex]\(x - y = 7\)[/tex], let's proceed step-by-step:
1. Start with the given information:
[tex]\[
x - y = 7
\][/tex]
2. To find [tex]\((x - y)^2\)[/tex], we can use the given value directly:
[tex]\[
(x - y)^2 = (7)^2
\][/tex]
3. Now, calculate the square of 7:
[tex]\[
7^2 = 49
\][/tex]
Therefore, the value of [tex]\((x - y)^2\)[/tex] is:
[tex]\[
49
\][/tex]