Find the sum of series `(3^3-2^3)+(5^3-4^3)+(7^3-6^3)+` upto 10 terms

Explanation

Given,
`(3^3-2^3)+(5^3-4^3)+(7^3-6^3)+`
to 10
terms

we know,

`a^3-b^3=(a-b)(a^2-ab+b^2)`

`=>S_n=(2n+1)^3-(2n)^3`

`=>S_n=(2n+1-2n)((2n+1)^2+2(2n+1)(2n)+(2n)^2)`

...