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 \( \frac{-2a + 5(a - b)}{b^2 - b} \div \frac{3a}{1} \).