📘 Class 8 Maths – Chapter 14: Factorisation
STEP 9: Worksheet – FULL ANSWERS (Step-by-Step)
📝 Question 1
Factorise: 6x + 18
Step 1: Take common factor
= 6(x + 3)
Answer: 6(x + 3)
📝 Question 2
Factorise: x² − 25
This is of the form a² − b²
= (x − 5)(x + 5)
Answer: (x − 5)(x + 5)
📝 Question 3
Factorise by grouping: ax + ay + bx + by
Step 1: Group terms
= a(x + y) + b(x + y)
Step 2: Take common factor (x + y)
= (a + b)(x + y)
Answer: (a + b)(x + y)
📝 Question 4
Factorise: x² + 9x + 20
Step 1: Find two numbers whose product is 20 and sum is 9
→ 4 and 5
Step 2:
= (x + 4)(x + 5)
Answer: (x + 4)(x + 5)
📝 Question 5
Factorise: 4x² − 16
Step 1: Take common factor 4
= 4(x² − 4)
Step 2: Use identity a² − b²
= 4(x − 2)(x + 2)
Answer: 4(x − 2)(x + 2)
📝 Question 6
Factorise: 2a² + 6a
Step 1: Take common factor 2a
= 2a(a + 3)
Answer: 2a(a + 3)
🎯 Exam Tip
- Always show steps clearly for full marks
- Write identities wherever used
- Neat factor form gives better impression
📘 Class 8 Mathematics – Complete Library
CBSE | NCERT | State Syllabus
Chapter 1: Rational Numbers
Chapter 2: Linear Equations in One Variable
Chapter 3: Understanding Quadrilaterals
Chapter 4: Practical Geometry
Chapter 5: Data Handling
Chapter 6: Squares and Square Roots
Chapter 7: Cubes and Cube Roots
- NCERT Notes
- MCQs
- Worksheet
- Worksheet Answers
- Mind Map & Easy Tricks
- Important Exam Questions
- Very Important Questions
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