(adsbygoogle = window.adsbygoogle || []).push({}); Rudin Theorem 1.21. How does he get "The identity"?

In Theorem 1.21, Rudin says:

The identity [tex] b^n-a^n=(b-a)(b^{n-1}+b^{n-2}a+....+a^{n-1}) [/tex]yields etc etc.

What is this "identity", and do we need to prove it first? If not, what assumption is Rudin making?

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# Rudin Theorem 1.21. How does he get The identity ?

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