BINOMIAL EXPANSION – REFLECTION BY: KHALIFA AL THANI.

Slides:

Advertisements

Similar presentations

How To Multiply Fractions

Advertisements

Transformations We want to be able to make changes to the image larger/smaller rotate move This can be efficiently achieved through mathematical operations.

Onward to Section 5.3. We’ll start with two diagrams: What is the relationship between the three angles? What is the relationship between the two chords?

( ) EXAMPLE 3 Solve ax2 + bx + c = 0 when a = 1

KS3 Mathematics N4 Powers and roots

Ratios and Scale Factors Slideshow 33, Mathematics Mr. Richard Sasaki, Room 307.

By: Youssef Rashad 8B. A binomial expansion is the expansion of a repeated product or power of a binomial expression. "Binomial" simply means "two terms."

Math Notebook. Review  Find the product of (m+2) (m-2)  Find the product of (2y-3)^2.

Doubling & Halving with Multiplication. Doubling and halving works because of the relationship between multiplication and division. Since multiplication.

5.4 Special Factoring Techniques

Binomial expansions :Math Reflection By. Annabel Diong 8C.

Chapter 7: Polynomials This chapter starts on page 320, with a list of key words and concepts.

Binomial Expansions Reflection. What is a binomial? A binomial is a mathematical expression of two unlike terms with coefficients and which is raised.

Binomial Expansions-Math Reflection

 Binomial Expansion Reflection Hossam Khattab, Grade 8B Qatar Academy November 3 rd, 2010.

Binomial Expansion Reflection Akar Khoschnau, Grade 8B.

SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:

Percent This slide needs the title “Percent”, your name, and two pictures that represent percent. Choose a nice background and apply it to all of your.

We came up with the general rule for expanding binomials, in particular squaring the sum and difference of two terms:- (a + b)²= a²+ 2ab + b² and (a –

Chapter 6 Section 4 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Squaring a Binomial (x+3) 2 How many terms do you get when you square a binomial? 3 Why don’t you just get two terms? (x+3) 2 Why isn’t the answer x 2.

Binomial Expansions - Reflection By: Salman Al-Sulaiti.

Scale Factor and the relationship to area and volume GLE SPI:

Multiplying Polynomials *You must know how to multiply before you can factor!”

LESSON 2: THE MULTIPLICATION OF POLYNOMIALS A-SSE.A.2 A-APR.C.4 Opening Exercise 5 minutes, with explanation (2 slides) (Reminder: An area model is when.

Binominal Expansions By: Barbara Giesteira. This is the binominal expansion method.

2-1 Variables and Expressions Learn to identify and evaluate expressions.

Chapter 3 Factoring.

Multiplying Binomial × Binomial An important skill in algebra is to multiply a binomial times a binomial. This type of problem will come up often.

BINOMIALEXPANSION REFLECTION Ibrahim Almana 8D. Engineers were calculating the area of a square figure 100 years back by squaring the length of a side.

Algebra 10.2 Multiplying Polynomials. Consider a rectangular house It is 12 feet wide by 18 feet long OK it’s a small house

Conversions Finding Acreage. Step One Finding Square Feet  How does one find the square feet or the area of place?  Finding area is an easy idea. 

By: Maisha Loveday 8C Maths Reflection: Binomial Expansion.

Previous Page Next Page EXIT Created by Professor James A. Sinclair, Ph.D. MMXI Monomials, binomials, and Polynomials Monomials, binomials, and polynomials.

Calculating Square Roots – Part 2 Slideshow 4, Mr Richard Sasaki, Room 307.

Multiplying and Factoring Polynomial Expressions

Expanding brackets Slideshow 11, Mathematics Mr Richard Sasaki, Room 307.

Daily Check 1)Find the first 3 terms of the following sequence: 2)Write the formula for the following arithmetic sequence. -2, 1, 4, 7, 10.

A binomial is a polynomial with two terms such as x + a. Often we need to raise a binomial to a power. In this section we'll explore a way to do just.

Try to find the middle through trial and error

ALGEBRA 1 Lesson 8-7 Warm-Up ALGEBRA 1 “Factoring Special Cases” (8-7) What is a “perfect square trinomial”? How do you factor a “perfect square trinomial”?

Chapter 7: Polynomials This chapter starts on page 320, with a list of key words and concepts.

Other bracket expansions Slideshow 12, Mathematics Mr Sasaki, Room 307.

E XPANSION - R EFLECTION Laura Delascasas 8C. I NTRODUCTION We learnt in class that we can use the expansion method instead of long multiplications in.

Use of our Method in Engineering Long Ago A hundred years ago the calculation of big numbers was extremely difficult because not many methods were developed.

By: Juan Fernando Polanco 8A. BINOMIAL EXPRESSIONS  In algebra, we use letters to replace numbers  This allows us to apply the equations to different.

Algebra 1 Section 2.5 Multiply real numbers Recall: 4 x (-3) means (-3)+(-3)+(-3)+(-3) = -12 Also (-4)(-3) = 12 because – (-12) = 12 Rules for multiplying.

HSAATH – Special Cases when working with Polynomials Tuesday, Oct. 22nd.

5.3C- Special Patterns for Multiplying Binomials SUM AND DIFFERENCE (a+b)(a-b) = a² - b² (x +2)(x – 2) = x² -4 “O & I” cancel out of FOIL SQUARE OF A BINOMIAL.

A REFLECTION ON BINOMIAL EXPANSION – BY: ABDULLA AL JAIDAH.

Multiply two binomials using FOIL method

Section 9.3 – 9.4 Review Algebra I.

Chapter 6 Section 4.

Lesson 9.3 Find Special Products of Polynomials

Solve Quadratic Equations by the Quadratic Formula

7.8 Multiplying Polynomials

Other Bracket expansions

Notes Over 10.3 Multiply binomials by using F O I L.

Factoring Special Cases

Factoring Special Cases

Sum and Difference Identities

Scale Factor and the relationship to area and volume

Lesson 4.2 Multiplying Polynomials Objectives:

This is a prototype of a road that will be built in survival world

Multiplying Decimals.

How many groups are there?

Algebra 1 Section 9.4.

Circle – Area – Worksheet A

Presentation transcript:

BINOMIAL EXPANSION – REFLECTION BY: KHALIFA AL THANI

USES OF ALGEBRIC FORMULA INSTEAD OF LONG MULTIPLICATION

As I am an engineer I have to do lot of calculations involving multiplication and I would have wasted lot of time for doing long multiplication. It is very clear that if I want to find area of a square room with 3.5 mts. in length I have to do the algebraic formula in the following way.

( )2 = x5x (0.5) + (o.5)2 = = m2

Where as when we multiply 3.5 with 3.5 it is time wasting process. In olden days lot of calculation errors also were there when we do long multiplication without using the formulas.

When there is more than two decimal places our method will be very tough. Because it will be as same as the multiplication done manually. consider the example x ( )2 = x5x (0.008) + (o.008)2

Here we have to multiply again manually.Therefore in this type of numbers with more decimals our method is not so good and it makes our work double.

Consider the examples like x10000 …..here we are feeling so comfort to multiply directly. But if we are using the formula here we have to make it as either ( )2 or ( )2 …this both method will be very hard for us.

In general we have to look at the number and we have to think the comfort in multiplication. if want to find 49x49 it is very easy. we can use (50 - 1)2 as the square of 50 and 1 are easily known to us the calculation will be done faster.

Here are some products which we can use the algebraic identity. 99x99= (100- 1)2 101x101=( )2 When the numbers are so big or it involves more number of decimals say more than three decimals long multiplication is easy.

Similarly number following some pattern also can be used by algebraic identity Consider the product 35x25 we can use a2 - b2 = ( a + b )( a - b) here we are taking it as ( )( )= 30 2 – 5 2.

In short we can say that many cases this can be done without any problems but some case long multiplication will be very useful. Main important idea is we can use the algebraic formula to verify our result which obtained after long multiplication.