Question

Question 56 (c)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

$p^3{q}^{2}r+p{q}^2{r}^3+3p^{2}q{r}^2-9p^{2}q{r}^2$

Answer 1

$p^3{q}^{2}r+p{q}^2{r}^3+3p^{2}q{r}^2-9p^{2}q{r}^2$
By combining the like terms.
$=p^3{q}^{2}r+p{q}^2{r}^3+3p^{2}q{r}^2-9p^{2}q{r}^2=p^3{q}^{2}r+p{q}^2{r}^3-6p^{2}q{r}^2$
The expression contains three terms. So, it is trinomial.