Question

Expand and simplify 5(3y + 2) +6 ​

Answer 1

Answer:

15y + 16

Step-by-step 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.

Answer 2

Hello !

$5(3y + 2) + 6$

$= 5 \times 3y + 5 \times 2 + 6$

$= 15y + 10 + 6$

$= 15y + 16$