
NCERT Solutions for Class 8 Maths Chapter 14 – It’s time to split things up, folks! Factorisation is all about breaking numbers and expressions into their simplest forms. In Chapter 14 of Class 8 Maths, you’ll learn to factorise algebraic expressions, making complex problems feel like a breeze. Imagine you’re the detective on a mission to break down a complicated mystery. Factorisation is your magnifying glass. 🕵️♀️🔍
What is Factorisation?
Factorisation involves expressing a number or algebraic expression as a product of its factors. It’s like finding the building blocks that make up a larger number. For example, 1212 can be factorised into 2×2×32 \times 2 \times 3.
Key Concepts:
- Prime Factorisation: This is the process of breaking a number down to its prime factors. For example, the prime factorisation of 1818 is 2×3×32 \times 3 \times 3.
- Factorisation of Algebraic Expressions: In algebra, factorisation helps break down expressions into products of simpler terms. Think of it as solving a puzzle where you put pieces together to form the whole picture.
- Common Factors: These are numbers or terms that are shared by multiple terms. By pulling out these common factors, the expression becomes simpler.
- Difference of Squares: This nifty trick is used to factor expressions like a2−b2=(a−b)(a+b)a^2 – b^2 = (a – b)(a + b). It’s like a magic spell to split up squares.
Applications in Real Life:
Factorisation isn’t just useful in the classroom. It’s used in fields like cryptography, engineering, and computer science. As you continue learning, you’ll realize that being able to factorise makes you a pro at simplifying complex problems. 🔧
NCERT Solutions for Class 8 Maths Chapter 14 Factorisation
NCERT Solutions for Class 8 Maths Chapters
- NCERT Solutions for Class 8 Maths Chapter 1: Rational Numbers
- NCERT Solutions for Class 8 Maths Chapter 2: Linear Equations in One Variable
- NCERT Solutions for Class 8 Maths Chapter 3: Understanding Quadrilaterals
- NCERT Solutions for Class 8 Maths Chapter 4: Practical Geometry
- NCERT Solutions for Class 8 Maths Chapter 5: Data Handling
- NCERT Solutions for Class 8 Maths Chapter 6: Squares and Square Roots
- NCERT Solutions for Class 8 Maths Chapter 7: Cubes and Cube Roots
- NCERT Solutions for Class 8 Maths Chapter 8: Comparing Quantities
- NCERT Solutions for Class 8 Maths Chapter 9: Algebraic Expressions and Identities
- NCERT Solutions for Class 8 Maths Chapter 10: Visualizing Solid Shapes
- NCERT Solutions for Class 8 Maths Chapter 11: Mensuration
- NCERT Solutions for Class 8 Maths Chapter 12: Exponents and Powers
- NCERT Solutions for Class 8 Maths Chapter 13: Direct and Indirect Proportions
- NCERT Solutions for Class 8 Maths Chapter 14: Factorisation
- NCERT Solutions for Class 8 Maths Chapter 15: Introduction to Graphs
- NCERT Solutions for Class 8 Maths Chapter 16: Playing with Numbers