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The first core concept in this problem is distribution. In algebra, distribution refers to the process of multiplying each term inside a parenthesis by a term outside the parenthesis. It’s essential to ensure that every part of the expression inside the parentheses is multiplied correctly by the term outside.

For example, in the expression \(9m(m - 11)\), you need to distribute the \(9m\) to both \(m\) and \(-11\).

This step is crucial because it lays the foundation for the next stages in solving polynomial expressions. By distributing the terms properly, you can maintain balance and correctness in your calculations. It's like sharing a set of items equally to ensure fairness. Remember, always multiply each term inside the parentheses by the term outside before moving on to the next step.

After the distribution step, the next concept is polynomial multiplication. Here, you're working with two terms: \(9m\) and the terms inside the parenthesis \(m - 11\).

First, multiply \(9m\) by \(m\). This gives you \(9m^2\).
This part of the process involves understanding that \(m \times m = m^2\).

Next, multiply \(9m\) by \(-11\). This gives you \(-99m\). When you multiply a positive term by a negative term, the result is negative. Therefore, \(9m \times -11 = -99m\).

Polynomial multiplication involves expanding the expressions and making sure each term is accounted for correctly.

The final step in this problem is combining like terms. In the previous steps, you obtained two terms: \(9m^2\) and \(-99m\).

In algebra, combining like terms means adding or subtracting terms that have the same variable raised to the same power. However, in this problem, the terms, \(9m^2\) and \(-99m\), are already simplified and they don't share the same variable power.

Therefore, you can't combine \(m^2\) and \(m\) terms. So the final expression remains \(9m^2 - 99m\).

Sometimes, you may need to combine like terms if additional terms had been present that could be simplified together.