Expand `(3x-2y)^(6)` with the help ob binomial theorm.

Answer

N/a

Explanation

`(3x-2y)^(6)`
`=overset(6)underset(r=0)(Sigma).^(6)C_(r)(3x)^(6-r)(-2y)^(r)`
`=^(6)C_(0)(3x)^(6)+^(6)C_(1)(3x)^(5)(-2y)^(1)+^(6)C_(2)(3x)^(4)(-2y)^(2)`
`+^(6)C_(3)(3x)^(3)(-2y)^(3)+^(6)C_(4)(3x)^(2)(-2y)^(4)`
`+^(6)C_(5)(3x)^(1)(-2y)^(5)+^(6)C_(6)(-2y)^(6)`
`=1.729x^(6)+6(243x^(5))(-2y)+15.(81x^(4))`
`(4y^(2))+20(27x^(3))(-8y)^(3)+15(9x^(2))(16y^(4))`
`+6(3x)(-32y^(5))+1.(64y^(6))`
`=729x^(6)-2916x^(5)y+4860x^(4)y^(2)-4320x^(3)y^(3)`
`=2160x^(2)y^(4)-576xy^(5)+64y^(6)`