Math 9
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4.1 Algebraic Expressions
4.1 Algebraic Expressions
Polynomials
4.1.1 Rational Expressions Behave like Rational Numbers
4.1.2 Rational Expression
4.1.3 Properties of Rational Expressions
4.1.4 Rational Expression in its Lowest form
4.1.5 To examine whether a rational expression is in lowest form or not
4.1.6 Working Rule to reduce a rational expression to its lowest terms
4.1.7 Sum, Difference and Product of Rational Expressions
4.1.8 Dividing a Rational Expression with another Rational Expression
4.1.9 Evaluation of Algebraic Expression at some particular Real Number Definition
4.2 Algebraic Formulae
4.2 Algebraic Formulae
4.2.1 Using the formulas
(ii) (a + b + c)
^{2}
= a
^{2}
+ b
^{2}
+ 2ab + 2bc + 2ca
(iii) (a + b)
^{3}
= a
^{3}
+ 3ab(a + b)+ b
^{3}
, (a - b)
^{3}
= a
^{3}
- 3ab(a + b)- b
^{3}
(iv) a
^{3}
± b
^{3}
= (a ± b)(a
^{2}
± ab + b
^{2}
)
4.3 Surds and their Application
4.3 Surds and their Application
4.3.1 Definition
4.3.2 Operations on surds
4.4 Rationalization of Surds
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