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## Homework Statement

Prove that:

[tex]sinh(3x)=3sinh(x)+4sinh^{3}(x)[/tex]

**2. The attempt at a solution**

I know that:

[tex]sinh(3x)=0.5(e^{3x}-e^{-3x})[/tex]

and:

[tex]3sinh(x)=1.5(e^{x}-e^{-x})[/tex]

But I have no idea how to rewrite [tex]4sinh^{3}(x)[/tex] in exponential form...

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