Answer:


Explanation:
Given

Solving (a): Expand
To do this, we make use of pascal triangle
When the exponent is 6, the factors are: 1, 6, 15, 20, 15, 6 and 1
As a rule, the exponent of 1 will start from 0 and then increase by 1 in each term while the exponent of 3x will start from 6 and then decrease by 1 in each term.
So, we have:

Expand



Solving (b): (0.97)^6
Rewrite as:

Express -0.03 as 3 * -0.01

So, by comparing:
and


Recall that:

This gives:

Using a calculator


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