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Algebraic Expressions and Laws of Basic Arithmetic Operations
Algebraic Expressions and Basic Arithmetic Operations
2.3
Algebraic Expressions and Basic Arithmetic Operations
Addition and Subtraction of Algebraic Expressions
Rules
Before adding or subtracting two algebraic fractions, check the denominators first.
If they are not the same, you need to express all fractions in terms of common denominators.
Examples
(i)
\(\dfrac{3y}{5} + \dfrac{3y}{5} = \dfrac{6y}{5}\)
(ii)
\(\begin{aligned} &\dfrac{2}{3} - \dfrac{4s}{9} \\\\&=\dfrac{2\times 3}{3\times 3} - \dfrac{4s}{9} \\\\&= \dfrac{6-4s}{9}. \end{aligned}\)
(iii)
\(\begin{aligned} &\space \dfrac{1}{2k} - \dfrac{1}{kj} \\\\&= \dfrac{1 \times j}{2k \times j} - \dfrac{1 \times 2}{kj\times 2} \\\\& = \dfrac{j-2}{2kj}. \end{aligned}\)
Multiplication and Division
Factorise expressions before division or multiplication when it is necessary.
Example
\(\begin{aligned} &\space \dfrac{m+n}{x -y} \div \dfrac{(m+n)^2}{x^2 -y^2} \\\\& = \dfrac{\cancel{m+n}}{\cancel{x-y}} \times \dfrac{(x+y)(\cancel{x-y})}{(\cancel{m+n})(m+n)} \\\\& = \dfrac{x+y}{m+n}. \end{aligned}\)
Chapter : Factorisation and Algebraic Fractions
Topic : Algebraic Expressions and Laws of Basic Arithmetic Operations
Form 2
Mathematics
View all notes for Mathematics Form 2
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