Line-breaking a big equation containing large parentheses

Q_2(T,V)=V^2\left[1+\left( \frac{3}{2}\right)\left( \frac{2R_1}{3\epsilon}
F\left(\frac{3}{2},\frac{1}{2},\frac{5}{2};\frac{-R_1^2}{\epsilon^2}\right)
+ \frac{2R_1}{3\epsilon}\frac{\alpha^2 B}{\epsilon^4}
F\left(\frac{3}{10},\frac{1}{2},\frac{3}{10};\frac{-R_1^{10}}{\epsilon^{10}}\right)\right)
\left(\frac{F_0}{R_1T} \right)^3\right]
• Welcome to TeX.SE! Please extend your code fragment to complete small document beginning with \documentclass ... and ending with \end{document}. Jul 1 '20 at 14:57

You can't have a line-break inside a \left ... \right group. I would like to suggest that you first replace all instances of \left with \biggl and all instances of \right with \biggr. Then it's up to you to decide whether an align* or a multline* environment is more appropriate.

\documentclass{article} % or some other suitable document class
\usepackage{amsmath} % for 'align*' and 'multline*' environments
\begin{document}
\noindent
With \verb+align*+:
\begin{align*}
Q_2(T,V)=V^2\biggl[ 1+ \frac{3}{2}\biggl\{
& \frac{2R_1}{3\epsilon}
F\biggl(\frac{3}{2},\frac{1}{2},\frac{5}{2};
\frac{-R_1^2}{\epsilon^2}\biggr) \\
&+ \frac{2R_1}{3\epsilon}\frac{\alpha^2 B}{\epsilon^4}
F\biggl(\frac{3}{10},\frac{1}{2},\frac{3}{10};
\frac{-R_1^{10}}{\epsilon^{10}}\biggr)
\biggr\} \biggl(\frac{F_0}{R_1T} \biggr)^{\!\!3}\, \biggr]
\end{align*}

\bigskip\noindent
With \verb+multline*+:
\begin{multline*}
Q_2(T,V)=V^2\biggl[ 1+ \frac{3}{2}\biggl\{
\frac{2R_1}{3\epsilon}
F\biggl(\frac{3}{2},\frac{1}{2},\frac{5}{2};
\frac{-R_1^2}{\epsilon^2}\biggr) \\
+ \frac{2R_1}{3\epsilon}\frac{\alpha^2 B}{\epsilon^4}
F\biggl(\frac{3}{10},\frac{1}{2},\frac{3}{10};
\frac{-R_1^{10}}{\epsilon^{10}}\biggr)
\biggr\} \biggl(\frac{F_0}{R_1T} \biggr)^{\!\!3}\, \biggr]
\end{multline*}
\end{document}

One of possibilities is use of the multline math environment defined in amsmat package:

\documentclass{article}
\usepackage{amsmath}

\begin{document}
\begin{multline*}
Q_2(T,V) = V^2g
\Biggl[1+\left( \frac{3}{2}\right)
\Biggl(\frac{2R_1}{3\epsilon}F
\left(\frac{3}{2},\frac{1}{2},\frac{5}{2};\frac{-R_1^2}{\epsilon^2}\right)  \\
+ \frac{2R_1}{3\epsilon}\frac{\alpha^2 B}{\epsilon^4}F
\left(\frac{3}{10},\frac{1}{2},\frac{3}{10};\frac{-R_1^{10}}{\epsilon^{10}}\right)
\Biggr)
\left(\frac{F_0}{R_1T} \right)^3
\Biggr]
\end{multline*}
\end{document}

• Are you sure about using \Big to size the "outer" pair of parentheses?
– Mico
Jul 1 '20 at 15:23
• @Mico, this is typing error. Corrected now. Jul 1 '20 at 15:26