Evaluate `(sqrt(3)+sqrt(2))^6-(sqrt(3)-sqrt(2))^6dot`

Explanation

`\ ^{n} C_{r}=frac{n !}{(n-r) !(r) !}`


(ii) `(a+b) n=\ ^{n} C_{0} a^{n}+\ ^{n} C_{1} a^{n-1} b+\ ^{n} C_{2} a^{n-2} b^{2}+ldots+\ ^{n} C_{n-1} a b^{n-1}+\ ^{n} C_{n} b^{n}`


` (a+b)^{6}=\ ^{6} C_{0} a^{6}+\ ^{6} C_{1} a^{6-1} b+\ ^{6} C_{2} a^{6-2} b^{2}+\ ^{6} C_{3} a^{6-3} b^{3}+\ ^{6} C_{4} a^{6-4} b^{4}+\ ^{6} C_{5} a^{6-5} b^{5}+\ ^{6} C_{6} b^{6} `


`Rightarrow\ ^{6} C_{0} a^{6}+\ ^{6} C_{1} a^{5} b+\ ^{6} C_{2} a^{4} b^{2}+\ ^{6} C_{3} a^{3} b^{3}+\ ^{6} C_{4} a^{2} b^{4}+\ ^{6} C_{5} a b^{5}+\ ^{6} C_{6} b^{6} ldots text { (i) } `

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