Answer:
<em>Simplified expression: x^18 - x^12 + x^6</em>
Step-by-step explanation:
1. Let us write down the question at hand, firstly: x^24 - x^18 + x^12/ x^6
2. Let us factor equation x^24 - x^18 + x^12/ x^6 ⇒ x^12(x^12 - x^6 + 1)/ x^6
3. Now apply exponential rules to get x^6 to the numerator:
<em>x^12 - 6(x^12 - x^6 + 1)</em>
4. Simplify this expression to be ⇒ x^6(x^12 - x^6 + 1)
5. And further simplify this expression by distributing the x^6:
<em>Answer: x^18 - x^12 + x^6</em>