# How to solve 7/2+3/2+(2+4)^2+45/9

Welcome to my article How to solve 7/2+3/2+(2+4)^2+45/9 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+45/9, 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+45/9

First write the question on the page of the notebook.

## How to solve 7/2+3/2+(2+4)^2+45/9

Let us first write this question in this way,

\displaystyle \frac{7}{2}+\frac{3}{2}+{{(2+4)}^{2}}+\frac{{45}}{9}

\displaystyle \frac{7}{2}+\frac{3}{2}+{{(2+4)}^{2}}+\frac{{9\times 5}}{{9\times 1}}

\displaystyle \frac{7}{2}+\frac{3}{2}+{{(2+4)}^{2}}+\frac{5}{1}

\displaystyle \frac{7}{2}+\frac{3}{2}+\frac{5}{1}+{{(2+4)}^{2}}

\displaystyle \frac{7}{2}+\frac{3}{2}+\frac{{5\times 2}}{{1\times 2}}+{{(2+4)}^{2}}

\displaystyle \frac{7}{2}+\frac{3}{2}+\frac{{10}}{2}+{{(2+4)}^{2}}

\displaystyle \frac{{7+3+10}}{2}+{{(2+4)}^{2}}

\displaystyle \frac{{20}}{2}+{{(2+4)}^{2}}

\displaystyle 10+{{(2+4)}^{2}}

we know that ,

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

\displaystyle 10+{{2}^{2}}+{{4}^{2}}+2\times 2\times 4

\displaystyle 10+4+16+16

\displaystyle 10+36