robertjford80
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I don't see how this follows.
Understanding Planck's Blackbody Law: A Comprehensive Guide
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I don't see how this follows.
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What don't you see? If you do the substitution, the h's cancel, one of the c's cancel, and one of the lambda's cancel, leaving the result. What are you missing?
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If your problem is with the approximation in the second line, consider the power series for ex:
$$e^x = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + ...$$
$$e^x = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + ...$$