# How to solve 7/2+3/2+(2+4)^2+1/2

Welcome to my article How to solve 7/2+3/2+(2+4)^2+1/2 This question is taken from the simplification lesson.
The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
For complete information on how to solve this question How to solve 7/2+3/2+(2+4)^2+1/2 read and understand it carefully till the end.

Let us know how to solve this question How to solve 7/2+3/2+(2+4)^2+1/2.

First write the question on the page of the notebook

## How to solve 7/2+3/2+(2+4)^2+1/2

Let us first write this question in this way,

\displaystyle \frac{7}{2}+\frac{3}{2}+{{(2+4)}^{2}}+\frac{1}{2}

\displaystyle \frac{7}{2}+\frac{3}{2}+\frac{1}{2}+{{(2+4)}^{2}}

\displaystyle \frac{{7+3+1}}{2}+{{(2+4)}^{2}}

\displaystyle \frac{{11}}{2}+{{(2+4)}^{2}}

we know that

\displaystyle {{(a+b)}^{2}}={{a}^{2}}+{{b}^{2}}+2ab

\displaystyle \frac{{11}}{2}+{{2}^{2}}+{{4}^{2}}+2\times 2\times 4

\displaystyle \frac{{11}}{2}+4+16+16

\displaystyle \frac{{11}}{2}+36

\displaystyle \frac{{11}}{2}+\frac{{36\times 2}}{2}

\displaystyle \frac{{11}}{2}+\frac{{72}}{2}

\displaystyle \frac{{11+72}}{2}

\displaystyle \frac{{83}}{2}