Question

The expanded form of $(x+y{)}^2$ is a _______.

• A. monomial
• B. binomial
• C. trinomial
• D. cubic

Answer 1

The correct option is C trinomial

$Monomial$ can be defined as algrebraic expression consisting $one$ term.

$Binomial$ can be defined as algrebraic expression consisting $two$ terms.

$Trinomial$ can be defined as algrebraic expression consisting $three$ terms.

$\Rightarrow$ $(x+y{)}^2$can be written as $(x+y)(x+y)$

= $x(x+y)+y(x+y)$
= $x^2$ + $xy$ + $xy$ +$y^2$
Add like terms and we get:
= $x^2$ + $2xy$ + $y^2$
Rearrange the terms and we get:
= $x^2$ + $y^2$+ $2xy$
Hence, in this way we obtain the identity as trinomial i.e $3$ terms $x^2$,$y^2$ and $2xy$