$($A$1+$AU$1)+($B$2+$BU$2)=$A$(22$md$2$$1$dx$2+$U$($x$)$$1)+$B$(22$md$2$$2$dx$2+$U$($x$)$$2)($A$1+$AU$1)+($B$2+$BU$2)=$A$(22$md$2$$1$dx$2+$U$($x$)$$1)+$B$(22$md$2$$2$dx$2+$U$($x$)$$2).$

Use the fact that $1$$1$ and $2$$2$ were given as solutions of the Schr$$dinger equation for the particular UU and EE in this problem to simplify the left side of the equation.

Express your answer in terms of AA$,$ BB$,$ $1$$1,$ $2$$2,$ and EE$.$

View Available Hint$($s$)$for Part C

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