Question

State true or false :

$x^{3}y$ and $-y{x}^3$ are like terms

• A. True
• B. False

Answer 1

The correct option is A True

Terms are : $x^{3}y$ and $-y{x}^3$

Since like terms are those terms whose literal coefficient are same

And $-y{x}^3=-x^{3}y$ ( Commutative property of multiplication )

Terms	$x^{3}y$	$-y{x}^3=-x^{3}y$
Literal coefficient	$x^{3}y$	$x^{3}y$

So $x^{3}y$ and $-x^{3}y$ have their literal coefficient same

Therefore, ${\mathit{x}}^{\mathbf{3}}\mathit{y}$ and $\mathbf{-}\mathit{y}{\mathit{x}}^{\mathbf{3}}$ are like terms and the statement is TRUE