please i need expert answer with step by step explanation

Dear Student,
The solution to your 4th query is provided below:
4.
$$\begin{gathered} =\frac{44(x^4-4x^3-12x^2)}{11x(x-6)} \\ =\frac{44x^2(x^2-4x-12)}{11x(x-6)} \\ =\frac{44x^2(x^2-6x+2x-12)}{11x(x-6)} \\ =\frac{44x^2\left\{x(x-6)+2(x-6)\right\}}{11x(x-6)} \\ =\frac{44x^2(x-6)(x+2)}{11x(x-6)} \\ =\frac{44x^2(x+2)}{11x} \\ =4x(x+2) \end{gathered}$$


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