Question

Simplify 4(a + 1) + 5(a + 2).

Answer 1

Answer: $9a+14$

Step-by-step explanation:

Simplify: $4(a+1)+5(a+2)$

Step 1. Distribute 4 into a and 1. By distributing you would get 4a and 4.

$4*a=4a. \\4*1=4$

Step 2. Plug 4a+4 back into the remaining equation, which can be viewed below:

$4a+4+5(a+2)$

Step 3. Distribute, $5(a+2)$ again. Same principle as what you did previously. You should get 5a and 10.

$5*a=5a.\\5*2=10.$

Step 4. Plug 5a+10 back into the leftover equation, which is as follows.

$4a+4+5a+10$

Step 5. Combine like terms. Which is broken down below,

$4a+5a=9a.\\4+10=14.$

Once you're done combining like terms, you'll get the simplified answer which is: $9a+14$

Answer 2

Answer:

9a +14

Step-by-step explanation:

4(a + 1) + 5(a + 2)

Distribute

4a+4  +5a+10

Combine like terms

4a+5a  +4+10

9a +14