Certainly! Let's simplify the given expression step-by-step:
Given expression:
[tex]\[
(a-t)^2 + (a-t)^2
\][/tex]
Step 1: Notice that both terms in the expression are the same. Let's denote [tex]\( (a-t) \)[/tex] as [tex]\( x \)[/tex] for simplification.
So we can rewrite the expression as:
[tex]\[
x^2 + x^2
\][/tex]
Step 2: Combine the like terms. Since both terms are [tex]\( x^2 \)[/tex], we add them together:
[tex]\[
x^2 + x^2 = 2x^2
\][/tex]
Step 3: Substitute back the original expression [tex]\( (a-t) \)[/tex] for [tex]\( x \)[/tex]:
Thus, we have:
[tex]\[
2x^2 = 2(a-t)^2
\][/tex]
So, the simplified form of the given expression is:
[tex]\[
2(a-t)^2
\][/tex]
That is the final simplified form of the given expression.
