Question

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

Answer 1

Answer:
`9a+14`

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

9a +14

Explanation:

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

Distribute

4a+4 +5a+10

Combine like terms

4a+5a +4+10

9a +14