Question
X+3+3y and x+3(1+y) are equivalent
Answers
GPT 3.5
To determine if the expressions x + 3 + 3y and x + 3(1+y) are equivalent, we will simplify both expressions and compare them.
For the expression x + 3 + 3y, there is no operation to perform on x or 3, so they will remain the same. However, we can combine 3 and 3y by adding them together.
x + 3 + 3y = x + 3y + 3
For the expression x + 3(1+y), we can simplify the expression inside the parentheses (1+y) by multiplying 3 with each term.
x + 3(1+y) = x + 3 + 3y
The simplified forms of both expressions are x + 3y + 3 and x + 3 + 3y, respectively. As we can see, these are the same expression but rearranged differently. Therefore, the expressions x + 3 + 3y and x + 3(1+y) are equivalent.
For the expression x + 3 + 3y, there is no operation to perform on x or 3, so they will remain the same. However, we can combine 3 and 3y by adding them together.
x + 3 + 3y = x + 3y + 3
For the expression x + 3(1+y), we can simplify the expression inside the parentheses (1+y) by multiplying 3 with each term.
x + 3(1+y) = x + 3 + 3y
The simplified forms of both expressions are x + 3y + 3 and x + 3 + 3y, respectively. As we can see, these are the same expression but rearranged differently. Therefore, the expressions x + 3 + 3y and x + 3(1+y) are equivalent.