Expand (7+b)(a+9): Step-by-Step Binomial Multiplication

To solve this problem, we'll use the distributive property, also known as the FOIL method when dealing with two binomials.

Let's expand the expression $(7+b)(a+9)$:

• First, apply the distributive property by multiplying each term in the first binomial by each term in the second binomial. This means we will have four operations:
• Step 1: Multiply $7$ by $a$. This gives $7a$.
• Step 2: Multiply $7$ by $9$. This gives $63$.
• Step 3: Multiply $b$ by $a$. This gives $ab$.
• Step 4: Multiply $b$ by $9$. This gives $9b$.

After performing these operations, the expression expands to:

$7a + 63 + ab + 9b$

Rearrange the terms in standard form for the final answer, which is:

$ab + 7a + 9b + 63$

Therefore, the solution to the problem is $ab + 7a + 9b + 63$.