Classify each expression as either equivalent or not equivalent to (15r)s+(6r-22t)
There are two equivalent expressions.
• Equivalent
• Not Equivalent
-22t+(6r=15rs)
6r-(22t+15(rs))
(15r+6r)s-22t
15(rs+(-22t+6r)
(15s)r+(6t-22r)
Equivalent
Classify each expression as either equivalent or not equivalent to (15r)s+(6r-22t)
There are two equivalent expressions.
• Equivalent
• Not Equivalent
-22t+(6r=15rs)
6r-(22t+15(rs))
(15r+6r)s-22t
15(rs+(-22t+6r)
(15s)r+(6t-22r)
Not Equivalent
To determine if each expression is equivalent to (15r)s + (6r-22t), we can simplify each expression and compare them.
1. -22t + (6r=15rs)
This expression is not equivalent since there is a typo with an equals sign (=) in the expression. It should be -22t + (6r+15rs) instead.
2. 6r - (22t+15(rs))
This expression is not equivalent since the order of the terms is different than the original expression. It should be (15r)s + (6r-22t) instead.
3. (15r+6r)s - 22t
This expression is equivalent to (15r)s + (6r-22t) since the terms are in the same order and the parentheses are correctly placed.
4. 15(rs + (-22t+6r))
This expression is equivalent to (15r)s + (6r-22t) since the parentheses are correctly placed and the terms are in the same order.
5. (15s)r + (6t-22r)
This expression is not equivalent to (15r)s + (6r-22t) since the variables are different. It should be (15r)s + (6r-22t) instead.
Therefore, the two equivalent expressions are (15r+6r)s - 22t and 15(rs + (-22t+6r)).