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------------------------------------------------ Does [tex]$298 + 145 + (2 - 2) = 298 + 145$[/tex]?

To determine if the equation [tex]$ 298 + 145 + (2 - 2) = 298 + 145 $[/tex] is true, let's break down each part step-by-step.

1. Simplify inside the parentheses:

On the left side, we have:
[tex]\[
2 - 2
\][/tex]
which simplifies to:
[tex]\[
0
\][/tex]

2. Simplify the left-hand side of the equation:

Now substitute [tex]$0$[/tex] back into the equation:
[tex]\[
298 + 145 + 0
\][/tex]
This simplifies to:
[tex]\[
298 + 145
\][/tex]

3. Simplify the right-hand side of the equation:

The right-hand side remains:
[tex]\[
298 + 145
\][/tex]

4. Compare both sides:

Since both the left-hand side and the right-hand side simplify to:
[tex]\[
298 + 145
\][/tex]
we can see that they are indeed equal.

5. Evaluate the expression:

Adding the numbers:
[tex]\[
298 + 145 = 443
\][/tex]

Thus, both sides of the equation simplify to [tex]$443$[/tex], and hence are equal. Therefore, the equation [tex]$ 298 + 145 + (2 - 2) = 298 + 145 $[/tex] is true.