Practice Exercise 94 Further problems on the binomial series 

1. Use the binomial theorem to expand(a+2x)4 

2. Use the binomial theorem to expand (2−x)6 

3. Expand (2x−3y)4 

4. Determine the expansion of 2x+ 2 x5 5. Expand(p+2q)11 as far as the 5th term 

6. Determine the 6th term of
3p+q 313 

7. Determine the middle term of (2a−5b)8 

8. Use the binomial theorem to determine, correct to 4 decimal places: 

(a) (1.003)8 (b) (0.98)7 

9. Evaluate(4.044)6 correct to 2 decimal places.