Class 9 Math | Exercise 4.2 Factorization | Full Solution with Time Stamps | New Book 2025

Описание: 00:00 Definition of Maths / Introduction

Q1 – Factorize each expression
00:41 Q1 (i) 4x⁴ + 81y⁴
08:04 Q1 (ii) a² + 64b⁴
13:19 Q1 (iii) x⁴ + 4x² + 16
18:38 Q1 (iv) x⁴ − 14x² + 1
21:34 Q1 (v) x⁴ − 30x²y² + 9y⁴
25:53 Q1 (vi) x⁴ + 11x²y² + y⁴

Q2 – Factorize each expression
29:10 Q2 (i) (x + 1)(x + 2)(x + 3)(x + 4) + 1
37:26 Q2 (ii) (x + 2)(x − 7)(x − 4)(x − 1) + 17
44:05 Q2 (iii) (2x² + 7x + 3)(2x² + 7x + 5) + 1
47:14 Q2 (iv) (3x² + 5x + 3)(3x² + 5x + 5) − 3
50:11 Q2 (v) (x + 1)(x + 2)(x + 3)(x + 6) − 3x²
56:58 Q2 (vi) (x + 1)(x − 1)(x + 2)(x − 2) + 13x²

Q3 – Factorize
1:00:53 Q3 (i) 8x³ + 12x² + 6x + 1
1:03:47 Q3 (ii) 27a³ + 108a²b + 144ab² + 64b³
1:06:10 Q3 (iii) x³ + 48x²y + 108xy² + 216y³
1:08:13 Q3 (iv) 8x³ − 125y³ + 150xy² − 60x²y

Q4 – Factorize (Cubes)
1:11:18 Q4 (i) 125a³ − 1
1:14:54 Q4 (ii) 64x³ + 125
1:16:47 Q4 (iii) x³ − 27
1:18:21 Q4 (iv) 1000x³ + 1
1:20:11 Q4 (v) 343x³ + 216
1:22:26 Q4 (vi) 27 − 512y³

Welcome to Mathematics Cinema! In this video, we provide a detailed and step-by-step solution to Exercise 4.2 (Factorization) from the new 2025 Class 9 Mathematics book. Each question is explained with complete clarity so that students and teachers can learn the concept of factorization without any confusion.

📌 Topics Covered in This Video:
✔️ Factorization using special identities
✔️ Sum and difference of cubes
✔️ Factorization by grouping
✔️ Recognizing perfect squares and cubes
✔️ Tricks for solving polynomial expressions quickly

🔴 Jump to Your Required Question Using Time Stamps:
⏩ 00:00:41 – Q1(i) 4x⁴ + 81y⁴
⏩ 00:08:04 – Q1(ii) a² + 64b⁴
⏩ 00:13:19 – Q1(iii) x⁴ + 4x² + 16
⏩ 00:18:38 – Q1(iv) x⁴ − 14x² + 1
⏩ 00:21:34 – Q1(v) x⁴ − 30x²y² + 9y⁴
⏩ 00:25:53 – Q1(vi) x⁴ + 11x²y² + y⁴

⏩ 00:29:10 – Q2(i) (x + 1)(x + 2)(x + 3)(x + 4) + 1
⏩ 00:37:26 – Q2(ii) (x + 2)(x − 7)(x − 4)(x − 1) + 17
⏩ 00:44:05 – Q2(iii) (2x² + 7x + 3)(2x² + 7x + 5) + 1
⏩ 00:47:14 – Q2(iv) (3x² + 5x + 3)(3x² + 5x + 5) − 3
⏩ 00:50:11 – Q2(v) (x + 1)(x + 2)(x + 3)(x + 6) − 3x²
⏩ 00:56:58 – Q2(vi) (x + 1)(x − 1)(x + 2)(x − 2) + 13x²

⏩ 01:00:53 – Q3(i) 8x³ + 12x² + 6x + 1
⏩ 01:03:47 – Q3(ii) 27a³ + 108a²b + 144ab² + 64b³
⏩ 01:06:10 – Q3(iii) x³ + 48x²y + 108xy² + 216y³
⏩ 01:08:13 – Q3(iv) 8x³ − 125y³ + 150xy² − 60x²y

⏩ 01:11:18 – Q4(i) 125a³ − 1
⏩ 01:14:54 – Q4(ii) 64x³ + 125
⏩ 01:16:47 – Q4(iii) x³ − 27
⏩ 01:18:21 – Q4(iv) 1000x³ + 1
⏩ 01:20:11 – Q4(v) 343x³ + 216
⏩ 01:22:26 – Q4(vi) 27 − 512y³

✨ Why Watch This Video?
✔️ Complete concept explanation – no step skipped
✔️ Time codes for easy navigation – jump directly to any question
✔️ Best for self-study & board exam preparation
✔️ Clear tricks and shortcuts to make factorization simple

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