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Hello !
[tex]5(3y + 2) + 6[/tex]
[tex] = 5 \times 3y + 5 \times 2 + 6[/tex]
[tex] = 15y + 10 + 6[/tex]
[tex] = 15y + 16[/tex]
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.