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

Question

asked Dec 28, 2022 101k views

2 Answers

Bmende · Answer 1 · 2022-12-29T12:58:19+0000

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