Download App
Google Android
Apple iOS
Huawei
English
English
Malay
Guest
Login
Register
Home
Quiz
Battle
Practice
Class
Classes List
Timetable
Assignments
Learn
Learning Hub
Quick Notes
Videos
Experiments
Textbooks
Login
Register
Download App
Google Android
Apple iOS
Huawei
EN
MS
Learn
Quick Notes
List
Expansion
Expansion
2.1
Expansion
Definition
Expansion of algebraic expression is the product of multiplication
of one or two expressions in brackets.
Expansion on Two Algebraic Expressions
When doing an expansion of algebraic expressions, every term within the bracket needs to be multiplied with the term outside the bracket.
Example
\(\begin{aligned} a(x+y) &=(a\times x)+(a\times y) \\\\&= ax +ay. \end{aligned}\)
Combined Operations including Expansion
Combine operations for algebraic terms must be solved by following the 'BODMAS' rule.
\(\begin{aligned} \\\text{B} &= \text{Brackets} \\\\ \text{O} &= \text{Order} \\\\ \text{D} &= \text{Division} \\\\ \text{M} &= \text{Multiplication} \\\\ \text{A} &= \text{Addition} \\\\ \text{S} &= \text{Subtraction} \end{aligned}\)
Examples
(i)
\(\begin{aligned} &\space(m+n)(x+y) \\\\&= mx +my +nx +ny. \end{aligned}\)
(ii)
\(y(x+z) = yx + yz\)
(iii)
\(\begin{aligned} &\space(b+c)(d+e)\\\\&= bd +be + cd + ce. \end{aligned}\)
(iv)
\(\begin{aligned} &\space(d+e)^2 \\\\&=(d+e)(d+e) \\\\&=d^2+de+de+e^2 \\\\&= d^2 + 2 de + e^2. \end{aligned}\)
(v)
\(\begin{aligned} &\space(k-l)^2 \\\\&=(k-l)(k-l) \\\\&=k^2-kl-kl+l^2 \\\\&= k^2 -2kl + l^2. \end{aligned}\)
(vi)
\((b+c)(b-c) = b^2 -c^2\)
(vii)
\(\begin{aligned} &(h-j)^2-2h(3h-3j) \\\\&=(h-j)(h-j)-6h^2+6hj \\\\&=h^2-2hj+j^2-6h^2+6hj \\\\&=-5h^2+j^2+4hj. \end{aligned}\)
Expansion
2.1
Expansion
Definition
Expansion of algebraic expression is the product of multiplication
of one or two expressions in brackets.
Expansion on Two Algebraic Expressions
When doing an expansion of algebraic expressions, every term within the bracket needs to be multiplied with the term outside the bracket.
Example
\(\begin{aligned} a(x+y) &=(a\times x)+(a\times y) \\\\&= ax +ay. \end{aligned}\)
Combined Operations including Expansion
Combine operations for algebraic terms must be solved by following the 'BODMAS' rule.
\(\begin{aligned} \\\text{B} &= \text{Brackets} \\\\ \text{O} &= \text{Order} \\\\ \text{D} &= \text{Division} \\\\ \text{M} &= \text{Multiplication} \\\\ \text{A} &= \text{Addition} \\\\ \text{S} &= \text{Subtraction} \end{aligned}\)
Examples
(i)
\(\begin{aligned} &\space(m+n)(x+y) \\\\&= mx +my +nx +ny. \end{aligned}\)
(ii)
\(y(x+z) = yx + yz\)
(iii)
\(\begin{aligned} &\space(b+c)(d+e)\\\\&= bd +be + cd + ce. \end{aligned}\)
(iv)
\(\begin{aligned} &\space(d+e)^2 \\\\&=(d+e)(d+e) \\\\&=d^2+de+de+e^2 \\\\&= d^2 + 2 de + e^2. \end{aligned}\)
(v)
\(\begin{aligned} &\space(k-l)^2 \\\\&=(k-l)(k-l) \\\\&=k^2-kl-kl+l^2 \\\\&= k^2 -2kl + l^2. \end{aligned}\)
(vi)
\((b+c)(b-c) = b^2 -c^2\)
(vii)
\(\begin{aligned} &(h-j)^2-2h(3h-3j) \\\\&=(h-j)(h-j)-6h^2+6hj \\\\&=h^2-2hj+j^2-6h^2+6hj \\\\&=-5h^2+j^2+4hj. \end{aligned}\)
Chapter : Factorisation and Algebraic Fractions
Topic : Expansion
Form 2
Mathematics
View all notes for Mathematics Form 2
Related notes
Factorisation
Algebraic Expressions and Basic Arithmetic Operations
Patterns
Sequences
Patterns and Sequences
Algebraic Formulae
Regular Polygon
Interior Angles and Exterior Angles of Polygons
Properties of Circles
Symmetry and Chords
Report this note
Online Tuition
Live class daily with celebrity tutors
Learn more
Register for a free Pandai account now
Edit content
×
Loading...
Quiz
Videos
Notes
Account