Exercise 7.1

(1-2x)5 2. 5/2 / x-x      3. (2x - 3) 6

Using Binomial Theorem, indicate which number is larger (1.1)10000 or 1000.

Find (a + b)4 - ( a - b)4. Hence, evaluate 4) 2 3 (+ - 4) 2 - 3 (.

Find (x + 1)6 + (x - 1)6. Hence or otherwise evaluate ( 2 + 1)6 + ( 2 - 1) 6.

Show that 9n+1 - 8n - 9 is divisible by 64, whenever n is a positive integer.

Prove that ∑ = = n r nn r r 4 C 3.

5/1 / x / x   +   5. 1      + xx Using binomial theorem, evaluate each of the following:

(96)3 7. (102)5 8. (101)4

(99)5