Alright, let's break it down step by step! First, let's look at the expression you provided: -(4w)2 + 11w. This equation might look a bit confusing, but we can simplify it together.
Let's start with the term -(4w)2. The '2' here means we're squaring the term inside the parentheses, which is 4w. So, -(4w)2 can be written as - (4w x 4w), which simplifies to -16w2. This term represents the value of 4w multiplied by itself and then negated.
Next, we have the term 11w. This term represents 11 times the value of w. It's a simple linear term that stands alone in the equation.
Now, when we combine the two terms -(4w)2 and 11w in the equation -(4w)2 + 11w, we're essentially adding -16w2 and 11w together. This type of problem is called a polynomial, where we combine different powers of variables.
So, the expression -(4w)2 + 11w can be simplified to -16w2 + 11w. It's just a way of combining terms involving the variable w with different powers. By breaking down the steps and understanding each part of the expression, we can make it easier to grasp how the terms interact with each other!