**Answer
1** :
By using Binomial Theorem, the expression (1– 2x)^{5} can be expanded as

**Answer
2** :

By using Binomial Theorem, the expression ^{ }can be expanded as

**Answer
3** :
By using Binomial Theorem, the expression (2x – 3)^{6} can be expanded as

**Answer
4** :

By using Binomial Theorem, the expression ^{ }can be expanded as

**Answer
5** :
By using Binomial Theorem, the expression can be expanded as

**Answer
6** :

96 can be expressed as the sum or difference of two numbers whose powers are easier to calculate and then, binomial theorem can be applied.

It can be written that, 96 = 100 – 4

**Answer
7** :

102 can be expressed as the sum or difference of two numbers whose powers are easier to calculate and then, Binomial Theorem can be applied.

It can be written that, 102 = 100 + 2

**Answer
8** :

101 can be expressed as the sum or difference of two numbers whose powers are easier to calculate and then, Binomial Theorem can be applied.

It can be written that, 101 = 100 + 1

**Answer
9** :

99 can be written as the sum or difference of two numbers whose powers are easier to calculate and then, Binomial Theorem can be applied.

It can be written that, 99 = 100 – 1

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

**Answer
10** :

By splitting 1.1 and then applying Binomial Theorem,the first few terms of (1.1)^{10000} canbe obtained as

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