Question

Which expression is equivalent to (jk)l?
(j + k) + l
j(kl)
(2jk)l
(j + k)l

Answer 1

To determine which expression is equivalent to \((jk)l\), let's analyze each provided option:

1. **\((j + k) + l\)**: This expression does not have any products that combine \(j\), \(k\), and \(l\) in the same way as \((jk)l\). Thus, it is not equivalent.

2. **\(j(kl)\)**: This expression can be rewritten using the associative property of multiplication as \((jk)l\). Thus, this is equivalent.

3. **\((2jk)l\)**: This expression introduces an additional coefficient of \(2\), so it is not equivalent to \((jk)l\).

4. **\((j + k)l\)**: This expression also does not represent the multiplication of \(j\) and \(k\) before multiplying by \(l\), so it is not equivalent.

Therefore, the expression that is equivalent to \((jk)l\) is:

\[
\boxed{j(kl)}
\]