Question

Name the pair which contain like terms.

a. $2,2x$ b. $3x,4y$ c. $x^{2}y,-7x^{2}y$ d. $x^2,-3x^2$ e. $x^2,y^2$

Answer 1

Here we have to choose that pair that contains like terms.

In (a) $2,2x$ is not like terms because it does not have the same literal factor.

In (b) $3x,4y$ is not like terms because it does not have the same literal factor.

In (c) $x^{2}y,-7x^{2}y$ is like terms because it has the same literal factor.

In (d) $x^2,-3x^2$ is like terms because it has the same literal factor.

In (e) $x^2,y^2$ is not like terms because it does not have the same literal factor.

Hence the (c) $x^{2}y,-7x^{2}y$ and (d) $x^2,-3x^2$ contain like term.