Question

$$\frac{-6k^4 + 15k^3 - 9k^2}{3k^2}$$ 6.) $(1 + 4x - 3x^2 - x^4) - (-6x^4 +$

Explanation:

Step1: Split the fraction into terms

$\frac{-6k^4}{3k^2} + \frac{15k^3}{3k^2} - \frac{9k^2}{3k^2}$

Step2: Simplify each term

$-2k^{4-2} + 5k^{3-2} - 3k^{2-2}$

Step3: Simplify exponents

$-2k^2 + 5k - 3$

Answer:

$-2k^2 + 5k - 3$

Note: The second problem (6.) is incomplete, so only the first rational expression simplification is solved above. Please provide the full second problem for assistance with it.