Class 8 Maths – Chapter 14
Factorisation
STEP 4: NCERT Exercise Questions & Answers
Factorisation
STEP 4: NCERT Exercise Questions & Answers
Q1. Factorise: 12x + 18
Answer:
Common factor = 6
12x + 18 = 6(2x + 3)
Answer:
Common factor = 6
12x + 18 = 6(2x + 3)
Q2. Factorise: a² − b²
Answer:
a² − b² = (a − b)(a + b)
Answer:
a² − b² = (a − b)(a + b)
Q3. Factorise: x² + 7x + 10
Answer:
Find two numbers whose product is 10 and sum is 7
= (x + 5)(x + 2)
Answer:
Find two numbers whose product is 10 and sum is 7
= (x + 5)(x + 2)
Q4. Factorise: 4x² − 9
Answer:
Difference of squares:
4x² − 9 = (2x − 3)(2x + 3)
Answer:
Difference of squares:
4x² − 9 = (2x − 3)(2x + 3)
Q5. Factorise: ax + ay + bx + by
Answer:
Grouping method:
= a(x + y) + b(x + y)
= (a + b)(x + y)
Answer:
Grouping method:
= a(x + y) + b(x + y)
= (a + b)(x + y)
📌 Exam Writing Tip:
• Always write steps clearly
• Mention method (common factor / grouping / identities)
• Neat work = full marks
• Always write steps clearly
• Mention method (common factor / grouping / identities)
• Neat work = full marks
📘 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
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