Question

Expand and simplify 5(3y + 2) +6
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Answer 1

Hello !

`5(3y + 2) + 6`

`= 5 * 3y + 5 * 2 + 6`

`= 15y + 10 + 6`

`= 15y + 16`

Answer 2

15y + 16

Explanation:

Fully expanding and simplifying an expression means distributing all values and combining like terms.

Distributing

First, the 5 needs to be distributed to the values within the parentheses. Using the distribution property, the 5 can be multiplied by 3y and 2.

• (5 * 3y + 5 * 2) + 6

Then, just simplify

• 15y + 10 + 6

Combine Like Terms

Now that all values are distributed like terms need to be added together.

• Like terms are defined as terms that have the same variable and power.

The terms 10 and 6 are of the same power and do not have variables. So, they can be added together.

• 15y + 16

This expression is the most expanded and simplified version.