Question

Can someone help me solve this question? Thanks.

Answer 1

Using Pascal's Triangle ... row for exponent of 5 is 1 5 10 10 5 1
We only need the first 3: 1 5 10
First term:
`1(2 x^(2) )^5=32x^(10)`

2nd term:
`5(2 x^(2) )^(4)(- (1)/(3x) )=- (80)/(3) x^(7)`

3rd term:
`10(2 x^(2) )^(3)(- (1)/(3x) )^(2)= (80)/(9) x^(4)`