![Proof~that~(a+x)^n=a^n(1+\frac{x}{a})^n\\R.H.S. = a^n(1+\frac{x}{a})^n = [a(1+\frac{x}{a})]^n [a^nb^n=(ab)^n] \\~~~~~~~~~~~= (a+x)^n =L.H.S. ~proved](/tpl/images/1127/3651/33338.png)
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[a+x]ⁿ=aⁿ[1+×/a]ⁿ, a≠0...
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