Question

Identify like terms in the following:

$-{\mathrm{xy}}^2,–4{\mathrm{yx}}^2,8{\mathrm{x}}^2,2{\mathrm{xy}}^2,7\mathrm{y},–11{\mathrm{x}}^2,–100\mathrm{x},–11\mathrm{yx},20{\mathrm{x}}^2\mathrm{y},–6{\mathrm{x}}^2,\mathrm{y},2\mathrm{xy},3\mathrm{x}$

Answer 1

Identify the like terms.

Like Terms: The terms that have same variables and exponents, coefficient do not need to match.

So, $-{\mathrm{xy}}^2,2{\mathrm{xy}}^2$are like terms, they have same variable and exponents i.e., ${\mathrm{xy}}^2$

$–4{\mathrm{yx}}^2,20{\mathrm{x}}^2\mathrm{y}$ are like terms, they have same variable and exponents i.e., ${\mathrm{yx}}^2$

$8{\mathrm{x}}^2,–11{\mathrm{x}}^2,–6{\mathrm{x}}^2$are like terms, they have same variable and exponents i.e., ${\mathrm{x}}^2$

$7\mathrm{y},\mathrm{y}$ are like terms, they have same variable and exponent i.e., $\mathrm{y}$

$–100\mathrm{x},3\mathrm{x}$ are like terms, they have same variable and exponents i.e., $\mathrm{x}$

$–11\mathrm{yx},2\mathrm{xy}$ are like terms, they have same variable and exponents i.e., $\mathrm{xy}$

Hence, like terms are identified above from the given expressions