Factor the following algebraic expressions: (vii) p³+27q³+r³-9pqr (viii) 9m²-12m+4 (ix) 9x³-8/3 y³+z

In this video, we provide a step-by-step, easy explanation for the "End of the Exercise" problems from Chapter 4: Exploring Algebraic Expressions in the NEW NCERT Class 9 Mathematics textbook, "Ganita Manjari".

We completely solve Question 3, covering bits (vii), (viii), (ix), (x), and (xi). Learn how to identify and apply advanced algebraic identities to factorize complex polynomials like a pro! Perfect for exam preparation and building a strong foundation in algebra.

👇 Problems Solved with Timestamps:
00:00 - Introduction to Advanced Factoring Identities
01:15 - Q3 (vii) Factorize: p³ + 27q³ + r³ - 9pqr [Using a³ + b³ + c³ - 3abc]
05:30 - Q3 (viii) Factorize: 9m² - 12m + 4 [Perfect Square Trinomial]
08:45 - Q3 (ix) Factorize: 9x³ - 8/3 y³ + z³/3 + 6xyz [Fractional Cubic Factorization]
13:10 - Q3 (x) Factorize: 4x² + 9y² + 36z² + 12xz + 36yz + 24xy [Using (a + b + c)²]
18:25 - Q3 (xi) Factorize: 27u³ - 1/216 - 9u²/2 + u/4 [Perfect Cube Fractions]
24:00 - Quick Formula Revision & Exam Tips

Key Algebraic Identities Covered:
👉 a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c² - ab - bc - ca)
👉 (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
👉 (a - b)³ = a³ - b³ - 3a²b + 3ab²
👉 (a - b)² = a² - 2ab + b²

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Видео Factor the following algebraic expressions: (vii) p³+27q³+r³-9pqr (viii) 9m²-12m+4 (ix) 9x³-8/3 y³+z канала Math Magic