Answer:
To simplify the expression \(48b^6dg + 36^5dg^5 + \frac{24b^4dg^2}{-6b^3dh}\), let's break it down step by step:
1. Combine like terms in the numerator:
\(48b^6dg + 36^5dg^5 + \frac{24b^4dg^2}{-6b^3dh}\)
2. Simplify the expression in the denominator:
\(\frac{24b^4dg^2}{-6b^3dh} = \frac{24b^4dg^2}{-6b^3dh} \times \frac{-1}{-1} = \frac{-24b^4dg^2}{6b^3dh} = -4dg^2/h\)
3. Now, the expression becomes:
\(48b^6dg + 36^5dg^5 - 4dg^2/h\)
So, the simplified expression is \(48b^6dg + 36^5dg^5 - 4dg^2/h\).
