Identify the like terms in the following groups of terms $2 x y, y z, 3 z, \frac{1}{2} y z$

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Solution

The given terms:
Term
Factors
$2 x y$
$2, x, y$
$y z$
$y, z$
$3 z$
$3, z$
$\frac{1}{2} y z$
$\frac{1}{2}, y, z$
The above table, $y z$ and $\frac{1}{2} y z$ contains the same algebraic factors termed as the like term
∴ The like terms are $y z$ and $\frac{1}{2} y z$

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