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SubjectsMathematics
बीजीय व्यंजक
Algebraic Expressions introduces Class 9 Mathematics students to the language used for representing numbers and relationships with variables. As part of the chapter Introduction to Polynomials, students learn to identify terms, coefficients, constants, and variables; distinguish like and unlike terms; and simplify expressions by combining like terms. They also practise substituting values to evaluate expressions and applying addition, subtraction, multiplication, and division carefully, building a foundation for understanding polynomials and solving algebraic problems.
TOPIC PRACTICE
Up to 2 questions from this page. Select your focus, then start.
\(x^2-9\) is a difference of squares: \(x^2-9=(x-3)(x+3)\). Since \(x\neq3\), the factor \(x-3\) cancels, giving \(\frac{x^2-9}{x-3}=x+3\). Thus the expression becomes \(x^3+x+3\), so option B is correct. Option A incorrectly gives \(x-3\) after simplification. Exam tip: factorise the numerator before cancelling factors, and retain the condition that the denominator is non-zero.
\(x^2-4\) is a difference of squares: \(x^2-4=(x-2)(x+2)\). Thus, for \(x\neq2\), \(\frac{(x-2)(x+2)}{x-2}=x+2\). The option \(x-2\) is only a factor of the numerator, not the simplified expression. Exam tip: factorise the numerator before cancelling, and note values that make the denominator zero.
QUIZ COMPLETE
