Question

How do you simplify `8(7a+10)+9(a+6)`?

Answer 1

See a solution process below:

Explanation:

First, expand the terms in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

`color(red)(8)(7a + 10) + color(blue)(9)(a + 6) =>`

`(color(red)(8) xx 7a) + (color(red)(8) xx 10) + (color(blue)(9) xx a) + (color(blue)(9) xx 6) =>`

`56a + 80 + 9a + 54`

Next, group like terms:

`56a + 9a + 80 + 54`

Now, combine like terms:

`(56 + 9)a + (80 + 54)`

`65a + 134`