Question

identify binomial out of the following:- a)3xy²+5y-x²y b)x²y-5y-x²y c)xy+yz+zx d)3xy²+5y-xy²​

Answer 1

Answer:

Step-by-step explanation:

d)3xy² + 5y - xy²

Answer 2

Concept:

The binomial expansion has two terms. There is a increase in binomial coefficient and then decrease.

Given:

Options with different expressions.

Find:

Identify among the options which one is binomial.

Solution:

According to the problem,

Option $(d)$ is correct.

The simplification of the expression $3xy^2+5y-xy^2$ we get,

$=2xy^2+5y$ which has two unlike terms.

As, an expression is binomial only if it contains two unlike terms connected with either $+;-$ signs.

Thus, option $(d)$ is a correct option.

The given simplified value has $3$ unlike terms, $3xy^2,5y,x^2y$ but the calculated simplified value has only $2$ unlike terms. Thus, option $(a)3xy^2+5y-x^2y$ is incorrect option.

The given simplified value has $1$ term, $-5y$ but the calculated simplified value has only $2$ unlike terms. Thus, option $(b)x^2y-5y-x^2y$ is incorrect option.

The given simplified value has $3$ unlike terms, $xy,yz,zx$ but the calculated value has only $2$ unlike terms. Thus, option $(c)xy+yz+zx$ is incorrect option.

Hence, option $(b)3xy^2+5y-xy^2$ is correct option.