Question

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Cube of $s$ subtracted from cube of $t$.

Answer 1

Write algebraic expression of given statement and identify whether it is a monomial, binomial or trinomial.

An expression that contains only single term is known as monomial.

An expression that consist of two terms is known as binomial.

An expression that contains three terms is known as trinomial.

The cube of $s$ is $s^3$.

The cube of $t$ is $t^3$.

Now, expression of cube of $s$ subtracted from cube of $t$ is,

$t^3-s^3$

Identify the above expression as monomial, binomial or trinomial.

The obtained expression consists of two terms, so it is a binomial.

Therefore, the obtained expression is $t^3-s^3$ and it is a binomial.