S.chand publication New Learning Composite mathematics solution of class 8 Chapter 6 Factorisation of Algebraic Expressions Exercise 6B

 Exercise 6B

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Q1 | Ex-6B | Class 8 | SChand | New Learning Composite maths | Factorisation of Algebraic Expressions | myhelper

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 Question 1

Factorise the following polynomials.

a(f + g) + b(f + g)

Sol :

=(f+g)(a+b)

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Q2 | Ex-6B | Class 8 | SChand | New Learning Composite maths | Factorisation of Algebraic Expressions | myhelper

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 Question 2

x(b – c) – y(b – c)

Sol :

=(b-c)(x-y)

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Q3 | Ex-6B | Class 8 | SChand | New Learning Composite maths | Factorisation of Algebraic Expressions | myhelper

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 Question 3

p²(x + y) + q²(x +y)

Sol :

=(x+y)(p²+q²)

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Q4 | Ex-6B | Class 8 | SChand | New Learning Composite maths | Factorisation of Algebraic Expressions | myhelper

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 Question 4

3(6 – y) – y(6 – y)

Sol :

=(6-y)(3-y)

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Q5 | Ex-6B | Class 8 | SChand | New Learning Composite maths | Factorisation of Algebraic Expressions | myhelper

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 Question 5

a(10 -x) – (10 – x)

Sol :

=(10-x)(a-1)

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Q6 | Ex-6B | Class 8 | SChand | New Learning Composite maths | Factorisation of Algebraic Expressions | myhelper

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 Question 6

(a – b)² + 4(a –b)

Sol :

=(a-b)(a-b+4)

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Q7 | Ex-6B | Class 8 | SChand | New Learning Composite maths | Factorisation of Algebraic Expressions | myhelper

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 Question 7

4(p + q)² – 8(p + q)

Sol :

=4(p+q)(p+q-2)

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Q8 | Ex-6B | Class 8 | SChand | New Learning Composite maths | Factorisation of Algebraic Expressions | myhelper

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 Question 8

7x + 14y + (x + 2y)²

Sol :

=7(x+2y)+(x+2y)²

=(x+2y)(7+x+2y)

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Q9 | Ex-6B | Class 8 | SChand | New Learning Composite maths | Factorisation of Algebraic Expressions | myhelper

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 Question 9

(5y – 3z)² – 10y + 6z

Sol :

=(5y – 3z)²-2(5y-3z)

=(5y-3z)(5y-3z-2)

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Q10 | Ex-6B | Class 8 | SChand | New Learning Composite maths | Factorisation of Algebraic Expressions | myhelper

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 Question 10

3x(x – y) + 2y(x -y) + 7(y -x)

Sol :

=(x-y)(3x+2y-7)

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Q11 | Ex-6B | Class 8 | SChand | New Learning Composite maths | Factorisation of Algebraic Expressions | myhelper

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 Question 11

10 + 2y – 5z – zy

Sol :

=(10-5z+2y-2y)

=(5+y)(2-z)

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Q12 | Ex-6B | Class 8 | SChand | New Learning Composite maths | Factorisation of Algebraic Expressions | myhelper

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 Question 12

2pq – 6p + q -3

Sol :

=(q-3)(2p+1)