Question

Match the like terms.

• A. $5z{x}^3$
• B. $10zw$
• C. $5z{x}^2$
• D. $10yw$

Answer 1

1. The terms $3x^{3}z$ and $5z{x}^3$ have only $x$ and $z$ as variables with exponent of $x$ as 3 and exponent of $z$ as 1 in both the terms. $\Rightarrow$ These are like terms.
2. For $2wz$ and $10zw$, $w$ and $z$ are only variables with exponent of $w$ as 1 and exponent of $z$ as 1 in both the terms. $\Rightarrow$ These are like terms.
3. Only $x$ and $z$ are variables in the terms $10x^{2}z$ and $5z{x}^2$, with $x$ having an exponent of 2 and $z$ having an exponent of 1. $\Rightarrow$ These are like terms.
4. $w$ and $y$ are the only variables in $5wy$ and $10yw$, with $w$'s exponent equal to 1 and $y$'s exponent equal to 1. $\Rightarrow$ These are like terms.