Class 9 Math Chapter 4 Question Answer
Handwritten and composed notes Class 9 Math Chapter 4 Question Answer Algebraic Expressions and Algebraic Formulas of Chapter No.4: Algebraic Expressions and Algebraic Formulas notes written by Professor Asad Khalid Suib. These notes are very helpful in the preparation of Algebraic Expressions and Algebraic Formulas for the students of Mathematics Science group of the (9 class) Matriculation and these are according to the paper patterns of all Punjab boards.
Summary and Contents:
Topics which are discussed in the notes are given below:
- Important notes of Class 9 Math Chapter 4 Question Answer for Matriculation part-I students.
- Complete chapter test according to the paper patterns of all Punjab boards of Chapter No.4: Algebraic Expressions and Algebraic Formulas 9th class Mathematics Science group in English medium.
- Complete Multiple Choice Questions (MCQs) of Chapter No.4: Algebraic Expressions and Algebraic Formulas 9th class Mathematics Science group in English medium.
- Complete Chapter exercise wise solved questions of Chapter No.4: Algebraic Expressions and Algebraic Formulas 9th class Mathematics Science group in English medium.
- Complete chapter review exercise questions of Chapter No.4: Algebraic Expressions and Algebraic Formulas 9th class Mathematics Science group in English medium.
- Important definitions Asking in board question papers of Chapter No.4: Algebraic Expressions and Algebraic Formulas 9th class Mathematics Science group in English medium.
- Here are the detailed 9th class math chapter 4 question answer pdf to help you prepare for your exams.
- Know that a rational expression behaves like a rational number.
- Define a rational expression as the quotient p(x) / q(x) of two
polynomials p(x) and q(x) where q(x) is not the zero polynomial.
- Examine whether a given algebraic expression is a (i) polynomial or not, (ii) rational expression or not.
- Define p(x) / q(x) as a rational expression in its lowest terms if p(x) and
q(x) are polynomials with integral coefficients and having no
common factor.
- Examine whether a given rational algebraic expression is in Lowest
form or not.
- Reduce a given rational expression to its lowest terms.
- Find the sum, difference and product of rational expressions.
- Divide a rational expression with another and express the result in
it lowest terms.
- Find Value of algebraic expression for some particular real number.
Know the formulas (a + b)^2 + (a – b)^2 = 2(a^2 + b^2), (a + b)^2 – (a – b)^2 = 4ab
- You can also download the 9th class math chapter 4 question answer pdf download for free.
- Find the value of a^2 + b^2 and of ab when the values of a + b and
a – b are known.
- Know the formulas
(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca
- Find the value of a^2 + b^2 + c^2 when the values of a + b + c and
ab + bc + ca are given.
- Find the value of a + b + c when the values of a^2 + b^2 + c^2 and
ab + bc + ca are given.
- Find the value of ab + bc + ca when the values of a^2 + b^2 + c^2 and
a + b + c are given.
- know the formulas (a + b)^3 = a^3 + 3ab(a + b) + b^3, (a - b)^3 = a^3 - 3ab(a - b) - b^3,
- Find the value of a^3 ± b^3 when the values of a ± b and ab are given.
- Find the value of x^3 ± when the value of x ± is given.
- know the formulasa a^3 ± b^3 = (a ± b)(a^2 ± ab + b^2).
- Find the product of x + 1 / x and x^2 + 1 / x^2 -1.
- Find the product of x - 1 / x and x^2 + 1 / x^2 +1.
- Find the continued product of
(x + y) (x - y) (x^2 + xy + y^2 ) (x^2 - xy + y^2 ).
- Recognize the surds and their application.
- Explain the surds of second order. Use basic operations on surds
of second order to rationalize the denominators and evaluate it.
- Properties of Rational Expressions: The method for operations with rational expressions is similar
to operations with rational numbers.
- Let p(x), q(x), r(x), s(x) be any polynomials such that all values of
the variable that make a rational expression undefined are excluded
from the domain. Then following properties of rational expressions
hold under the supposition that they all are defined (i.e., denominator
(s) ≠ 0).