## Introduction

The binomial theorem is a quick way of expanding a binomial expression that is raised to some power. When the binomial expressions are expanded, is there any type of pattern developing which might help us expand more quickly? It is fun to investigate how it works out in a pattern.

## Sample Question

Question 1

(a) Expand for .

(b) What observations can we make about the terms in the expansion of ?

(c) Write down the general formula for the binomial expansion of .

(d) Obtain the general formula for binomial expansion of where is a rational number, and state the condition for the validity of the binomial expansion with a negative integral exponent or a rational exponent.

Question 2

Deduce the value of

(a)

(b)

Question 3

The number may be defined by . Determine the approximate value for .

##### Sample Solution

## Question 1 (a)

## Question 1 (b)

- There are terms in the expansion.
- The first term’s powers start at and go down.
- The second term’s powers start at 0 and go up.
- The coefficients are from Pascal’s triangle or .

## Question 1 (c)

## Question 1 (d)

## Question 2

## Question 3

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## STPM 2021 Term 2 Exam Timetable

View the exam timetable for STPM 2021 Term 2. Countdown to STPM 2021 Examination. Join my tuition to help you achieve better results in the exam. Contact (60) 018-2016992 or kklee@kkleemaths.com for more information.

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Question A complex number is an extension of a real number and it can be represented in Cartesian and polar forms. In this assignment, you are required to explore the powers and roots of complex numbers. 1 (a) Let z =1+i. Find z^n, where n = 2, 3, 4, …, and represent...

THX…

Sir, can u explain question 2

To get the equation, you need to substitute x=1 and x=-1

hi, may i know how to write the methodology? i have no idea. QAQ

For methodology, try to write about the methods/theorem/ways you used to solve the questions.

sir, may i know how to write about “communication”? and what is “viva”

It depends on your teacher.

How about term 2 methodology?

Hi. Are you referring to Mathematics (M)? I havent receive the question paper. T.T