Simplify the Expression: a+b+bc+9a+10b+3c Step by Step

To solve this problem, we'll follow these steps:

• Step 1: Identify and group like terms.
• Step 2: Combine the coefficients for each type of term.

Let's begin the simplification process:

First, we identify and group the like terms in the expression $a + b + bc + 9a + 10b + 3c$.

Notice: - The terms involving $a$ are $a$ and $9a$. - The terms involving $b$ are $b$ and $10b$. - The terms involving $c$ are $3c$, and the multiplication term with $c$ is $bc$.

Step 2: Combine the like terms:

$a + 9a = 10a$

$b + 10b = 11b$

The term $bc$ can be rearranged with $3c$ as $(b+3)c$.

Thus, after combining the terms, we have:

$10a + 11b + (b + 3)c$.

Therefore, the simplified form of the expression is:

$10a + 11b + (b + 3)c$