Solve this:

Dear student
The given expansion has the highest degree term of

x^{2}

which multiplied by power 11 will give highest degree of expansion=22

L e t t h e e x p a n s i o n o f (2 x^{2} - 3 x + 1)^{11} = a_{0} + a_{1} x + a_{2} x^{2} + . . . + a_{22} x^{22} P u t x = 1 (2 (1)^{2} - 3 (1) + 1)^{11} = a_{0} + a_{1} + a_{2} + . . . + a_{22} a_{0} + a_{1} + a_{2} + . . . + a_{22} = 0__________________(1) P u t x = - 1 (2 (- 1)^{2} - 3 (- 1) + 1)^{11} = a_{0} - a_{1} + a_{2} - a_{3} + a_{4} - . . . + a_{22} a_{0} - a_{1} + a_{2} - a_{3} + a_{4} - . . . + a_{22} = 6_____________(2) A d d i n g e q u a t i o n 1 a n d 2 2 (a_{0} + a_{2} + a_{4} + . . . + a_{22}) = 6 a_{0} + a_{2} + a_{4} + . . . + a_{22} = 3