What is the quotient

x24 - x18 + x12 : x6

Simplified expression: x^18 - x^12 + x^6

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:

x^12 - 6 (x^12 - x^6 + 1)

4. Simplify this expression to be ⇒ x^6 (x^12 - x^6 + 1)

5. And further simplify this expression by distributing the x^6:

Answer: x^18 - x^12 + x^6