Class 8: Maths Chapter 13 solutions. Complete Class 8 Maths Chapter 13 Notes.
Selina Class 8 ICSE Solutions Mathematics : Chapter 13- Factorisation
Selina 8th Maths Chapter 13, Class 8 Maths Chapter 13 solutions
Exercise 13A
Factorise :
Question 1.
15x + 5
Solution:![]()
Question 2.![]()
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Question 3.![]()
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Question 4.![]()
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Question 5.![]()
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Question 7.![]()
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Question 8.![]()
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Question 11.![]()
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Question 13.![]()
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Question 14.![]()
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Question 15.![]()
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Question 16.
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Question 17.![]()
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Exercise 13B
Question 1.
Factorise : a2 + ax + ab + bx
Solution:
Question 2.
Factorise : a2 – ab – ca + bc
Solution:
Question 3.
Factorise : ab – 2b + a2 – 2a
Solution:
Question 4.
Factorise : a3 – a2 + a – 1
Solution:
Question 5.
Factorise : 2a – 4b – xa + 2bx
Solution:
Question 6.![]()
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Question 7.![]()
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Question 8.![]()
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Question 19.![]()
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Exercise 13C
Note : a2 – b2 = (a + b) (a – b)
Question 1.
Factorise : 16 – 9x2
Solution:![]()
Question 2.
Factorise : 1 – 100a2
Solution:![]()
Question 3.
Factorise : 4x2 – 81y2
Solution:![]()
Question 4.
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Question 5.
Factorise : (a+2b)2 – a2
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Question 6.![]()
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Question 7.![]()
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Question 8.![]()
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Question 11.![]()
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Question 12.![]()
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Question 13.
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Question 14.
Evaluate :
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Question 15.
Evaluate :
(0.7)2 – (0.3)2
Solution:
Question 16.
Evaluate :
(4.5)2 – (1.5)2
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Question 17.![]()
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Question 18.![]()
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Question 19.![]()
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Question 20.![]()
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Exercise 13D
Question 1.![]()
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Question 8.![]()
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Question 11.![]()
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Question 13.![]()
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Question 14.![]()
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Question 15.![]()
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Question 25.![]()
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Exercise 13E
Question 1.
In each case find whether the trinomial is a perfect square or not:
Solution:

Question 2.
Factorise completely 2 – 8x2.
Solution:
Question 3.
Factorise completely : 8x2y – 18y3
Solution:
Question 4.
Factorise completely : ax2 – ay2
Solution:
Question 5.
Factorise completely : 25x3 – x
Solution:
Question 6.
Factorise completely : a4 – b4
Solution:
Question 7.
Factorise completely : 16x4 – 81y4
Solution:
Question 8.
Factorise completely : 625 – x4
Solution:
Question 9.
Factorise completely : x2 – y2 – 3x – 3y
Solution:
Question 10.
Factorise completely : x2 – y2 – 2x + 2y
Solution:
Question 11.
Factorise completely : 3x2 + 15x – 72
Solution:
Question 12.
Factorise completely : 2a2 – 8a – 64
Solution:
Question 13.
Factorise completely : 5b2 + 45b + 90
Solution:
Question 14.
Factorise completely : 3x2y + 11xy + 6y
Solution:
Question 15.
Factorise completely : 5ap2 + 11ap + 2a
Solution:
Question 16.
Factorise completely : a2 + 2ab + b2 – c2
Solution:
Question 17.
Factorise completely : x2 + 6xy + 9y2 + x + 3y
Solution:
Question 18.
Factorise completely : 4a2 – 12ab + 9b2 + 4a – 6b
Solution:
Question 19.
Factorise completely : 2a2b2 – 98b4
Solution:
Question 20.
Factorise completely : a2 – 16b2 – 2a – 8b
Solution:
Exercise 13F
Question 1.
Factorise :
Solution:
Question 2.
Factorise :
Solution:

Question 3.
Factorise :
Solution:
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Question 4.
Factorise :
Solution:

Question 5.
Factorise :
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Question 6.
Factorise :

Solution:

Question 7.
Factorise xy2 – xz2, Hence, find the value of:![]()
Solution:
Question 8.
Factorise :
Solution:

Question 9.
Factorise a2b – b3 Using this result, find the value of 1012 × 100 – 1003.
Solution:
Question 10.
Evaluate (using factors): 3012 × 300 – 3003.
Solution:
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Selina Class 8 ICSE Solutions Mathematics : Chapter 13- Factorisation
Download PDF: Selina Class 8 ICSE Solutions Mathematics : Chapter 13- Factorisation PDF
Chapterwise Selina Publishers ICSE Solutions for Class 8 Mathematics :
- Chapter 1- Rational Numbers
- Chapter 2- Exponents (Powers)
- Chapter 3- Squares and Square Roots
- Chapter 4- Cubes and Cube-Roots
- Chapter 5- Playing with Number
- Chapter 6- Sets
- Chapter 7- Percent and Percentage
- Chapter 8- Profit, Loss and Discount
- Chapter 9- Simple and Compound Interest
- Chapter 10- Direct and Inverse Variations
- Chapter 11- Algebraic Expressions
- Chapter 12- Algebraic Identities
- Chapter 13- Factorisation
- Chapter 14- Linear Equations in one Variable
- Chapter 15- Linear Inequations
- Chapter 16- Understanding Shapes
- Chapter 17- Special Types of Quadrilaterals
- Chapter 18- Constructions
- Chapter 19- Representing 3-D in 2-D
- Chapter 20- Area of Trapezium and a Polygon
- Chapter 21- Surface Area, Volume and Capacity
- Chapter 22- Data Handling
- Chapter 23- Probability
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