Class 9 NCERT • Ganita Manjari Part I (New Syllabus)
Ch 04: Exploring Algebraic Identities
Select a topic or study module below to explore numerical patterns, geometric visualisations, standard binomial identities, factorisation methods, trinomial expansions, rational expressions, and textbook exercises.
Topic 01 • Patterns & Identities
Investigating Numerical Sequences and Differentiating Between Equations and Identities
Topic 02 • Geometric Visualisation
Using Geometric Squares and Rectangles to Prove Area Formulas and Binomial Expansions
Topic 03 • Standard Identities
Applying (a+b)², (a-b)², and (a+b)(a-b) for Algebraic Expansions and Numerical Calculations
Topic 04 • Factorisation Methods
Reversing Standard Algebraic Identities to Factorise Quadratic and Polynomial Expressions
Topic 05 • Trinomials & Cubes
Exploring (a+b+c)², Cube Expansions, and Sum/Difference of Cubes Identities
Topic 06 • Area Models & Splitting
Using Physical Algebra Tiles and Splitting the Middle Term to Factorise Quadratics
Topic 07 • Rational Expressions
Applying Factorisation Techniques to Simplify Algebraic Fractions and Cancel Common Factors
Module 08 • Exercises & Quiz