# Are x^2y^3,x^3y^2 like terms?

Nov 26, 2016

They are not like terms.

#### Explanation:

No, they are unlike terms. Although they both have $x \mathmr{and} y$ variables, there are different numbers of $x \mathmr{and} y$

${x}^{2} {y}^{3} = x \times x \text{ } y \times y \times y$
${x}^{3} {y}^{2} = x \times x \times x \times y \times y$

You could add $\text{ } 4 {x}^{2} {y}^{3} + 7 {x}^{2} {y}^{3} = 11 {x}^{2} {y}^{3}$

But not $3 {x}^{2} {y}^{3} + 5 {x}^{3} {y}^{2}$

You can only add or subtract like terms and you end up with the same term,