Answer :
Answer:
Step-by-step explanation:
Let's break down the expression and simplify it step by step.
The given expression is:
\[
\frac{-2a + 5(a - b)}{b^2 - b} \div \frac{3a}{1}
\]
First, simplify the expression in the numerator:
\[ -2a + 5(a - b) \]
\[ -2a + 5a - 5b \]
\[ 3a - 5b \]
Now, we'll rewrite the expression as:
\[ \frac{3a - 5b}{b^2 - b} \div \frac{3a}{1} \]
Now, we can rewrite the expression as a multiplication instead of division:
\[ (3a - 5b) \times \frac{1}{b^2 - b} \times \frac{1}{3a} \]
\[ \frac{3a - 5b}{3a(b^2 - b)} \]
Now, let's analyze the number of terms:
The numerator \( 3a - 5b \) has two terms.
The denominator \( 3a(b^2 - b) \) also has two terms after expanding \( 3a(b^2 - b) \).
Therefore, the overall expression has 2 terms.
So, there are 2 terms in the expression \( \frac{-2a + 5(a - b)}{b^2 - b} \div \frac{3a}{1} \).
