`(x^2-3)-(-3x^2+5)`
Which of the following expressions is equivalent to the one above?

Options

A. `4x^2 -8`
B. `4x^2 -2`
C. `-2x^2 -8`
D. `-2x^2-2`

Explanation

To solve the inequality `(x^2 - 3) - (-3x^2 + 5)`, we will simplify the expression step by step.

### Step 1: Rewrite the expression
We start with the given expression:
\[ (x^2 - 3) - (-3x^2 + 5) \]

### Step 2: Distribute the negative sign
Next, we distribute the negative sign across the second term:
\[ x^2 - 3 + 3x^2 - 5 \]

### Step 3: Combine like terms
Now, we combine the like terms. The like terms are \(x^2\) and \(3x^2\), as well as the constants \(-3\) and \(-5\):
\[ (x^2 + 3x^2) + (-3 - 5) = 4x^2 - 8 \]

### Final Expression
Thus, the simplified expression is:
\[ 4x^2 - 8 \]

### Conclusion
Now, we can compare this expression \(4x^2 - 8\) with the options provided to find the equivalent expression.