Question

Group the like and the unlike terms together:
$x,-2x,6x^2,9x^3,4y{z}^2,12z^{2}y$

• A. Like Terms: $(x,-2x)$, $(4y{z}^2,12z^{2}y)$
  Unlike terms: $6x^2,9x^3$
• B. Like Terms: $(x,-2x)$
  Unlike terms: $6x^2,9x^3$, $(4y{z}^2,12z^{2}y)$
• C. Like Terms: $(4y{z}^2,12z^{2}y)$
  Unlike terms: $6x^2,9x^3$, $(x,-2x)$
• D. Data insufficient

Answer 1

The correct option is A Like Terms: $(x,-2x)$, $(4y{z}^2,12z^{2}y)$

Unlike terms: $6x^2,9x^3$

The terms having the same variables and powers are called like terms. Terms that do not have the same variables and powers are called unlike terms.

Hence $(x,-2x)$ and $(4y{z}^2,12z^{2}y)$ are like terms and $6x^2,9x^3$ are unlike terms.