Question

If $m=2$ and $n=3,$ what is the value of the first term in $m^2+n^2+2mn?$

• A. $4$
• B. $9$
• C. $13$
• D. $25$

Answer 1

The correct option is A $4$

$\underset{–}{\text{Need to Find}:}$
The value of the first term in expression $m^2+n^2+2mn$ if $m=2$ and $n=3$

Terms of an algebraic expression are numbered from left to right. Terms for given expression are numbered in below picture,

$\therefore$ The first term of the given algebraic expression $m^2+n^2+2mn$ is $\underset{–}{m^2}.$

Putting the value of $m=2$ in the first term, we will get the value of first term.

The value of the first term $=m^2=2^2=2\times 2=4$

As a result, obtained value of the first term is $\underset{–}{4.}$

Therefore, option (a.) is the correct one.