7 Multiple Choice 1 point If \( g \neq 0 \) and \( h \neq 0 \), which expression r \( \frac{15 g^{8} h^{4}-18 g^{8} h^{2}+15 g^{5} h^{3}}{3 g^{5} h^{2}} \)

Let’s simplify the expression step by step. First, we can factor out the common elements in the numerator: \[ \frac{15g^{8}h^{4} - 18g^{8}h^{2} + 15g^{5}h^{3}}{3g^{5}h^{2}} \] We can factor out \(3g^5h^2\) from the numerator: \[ = \frac{3g^5h^2(5g^3h^2 - 6g^3 + 5h)}{3g^5h^2} \] The \(3g^5h^2\) terms cancel out, resulting in: \[ = 5g^3h^2 - 6g^3 + 5h \] Thus, the final simplified expression is: \[ 5g^3h^2 - 6g^3 + 5h \] This expression should offer a clearer perspective on the relationship between the variables involved!