It seems like you're asking to simplify or solve the expression:

\[
x - 1 \cdot \sqrt{x^4 + 3x^2}
\]

Let's break this down:

### Expression:
\[
x - \sqrt{x^4 + 3x^2}
\]

1. The term inside the square root is \( x^4 + 3x^2 \).
2. Factor out \( x^2 \) from the expression inside the square root:

\[
x^4 + 3x^2 = x^2(x^2 + 3)
\]

3. Now, the square root becomes:

\[
\sqrt{x^2(x^2 + 3)} = |x| \sqrt{x^2 + 3}
\]

4. Plugging this back into the original expression, we get:

\[
x - |x| \sqrt{x^2 + 3}
\]

This is the simplified form of the expression.

### Do you have any questions or would you like further details?

Here are five questions related to this:

1. How do we handle absolute values in algebraic expressions?
2. What happens to this expression when \( x \) is positive or negative?
3. Can this expression be simplified further under specific conditions?
4. How does factoring help simplify square root expressions?
5. How can we differentiate this expression with respect to \( x \)?

**Tip:** When simplifying square roots involving variables, always check if factoring can make things clearer!

Discover how to simplify the expression x - √(x^4 + 3x^2) by factoring and applying the properties of square roots and absolute values. This solution walks through the key algebraic steps, making it suitable for students in Grades 10-12.

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