\(C=\dfrac{\left(x^3y^4z^5+\dfrac{1}{2}x^2y^3z^4-6x^4y^7z^4\right)}{\left(xyz\right)^2}\)
\(=\dfrac{x^3y^4z^5+\dfrac{1}{2}x^3y^3z^4-6x^4y^7z^4}{x^2y^2z^2}\)
\(=\dfrac{x^2y^2z^2\left(xy^2z^3+\dfrac{1}{2}xyz^2-6x^2y^5z^2\right)}{x^2y^2z^2}=xy^2z^3+\dfrac{1}{2}xyz^2-6x^2y^5z^2\)