Find the expansion of `(3x^2-2a x+3a^2)^3` using binomial theorem.

Answer

N/a

Explanation

`(3x^(2)-2x +3a^(2))^(3)`
`[(3x^(2)-2ax)+3a^(2]]^(3)`
`=^(3)C_(0).(3x^(2)-2ax)^(3)+^(3)C_(1).(3x^(2)-2ax)^(2).3a^(2)`
`+^(3)C_(2)(3x^(2)-2ax)^(1)(3a^(2))^(2)+^(3)C_(3).(3a^(2))^(3)`
`=(27x^(6)-54x^(5)a_36x^(4)a^(2)-8a^(3)x^(3))+9a^(2)(9x^(4)`
`=12x^(3)a+4a^(2)x^(2))+27a^(4)(3x^(2)-2ax)+27a^(6)`
`=27x^(6)-54x^(5)a+36x^(4)a^(2)-8x^(3)a^(3)+81x^(4)a^(2)`
`=108x^(3)a^(3)+36x^(2)a^(4)+81x^(2)a^(4)=54xa^(5)+27a^(6)`
`=27x^(6)-54x^(5)a+117x^(4)a^(2)-116x^(3)a^(3)`
`+117x^(2)a^(4)=54xa^(5)+27a^(6)`