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

 Exercise 6C


Q1 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

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Question 1

ax2 + by2 + bx2 + ay2

Sol :

=ax2+by2+bx2+ay2

=x2(a+b)+y2(a+b)

=(a+b)(x2+y2)



Q2 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

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Question 2

my + nz + mz + ny

Sol :

=my+mz+nz+ny

=m(y+z)+n(y+z)

=(y+z)(m+n)



Q3 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

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Question 3

ab – 5c + 5a – bc

Sol :

=ab+5a+5c-bc

=ab-bc-5c+5a

=b(a-c)+5(a-c)

=(a-c)(b+5)



Q4 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

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Question 4

x2 + ab – ax – bx

Sol :

=x2+ab–ax–bx

=x(x-a)-b(x-a)
=(x-a)(x-b)



Q5 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

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Question 5

ab2 – bc2 – ab + c2

Sol :

=ab(b-1)-c2(b-c)

=(b-1)(ab-c2)



Q6 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

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Question 6

2xw – 3 – 6x + w

Sol :

=2xw+w-3-6x

=w(2x+1)-3(2x+1)

=(2x+1)(w-3)



Q7 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

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Question 7

54x + 10y – 12xy – 45

Sol :

=54x-45+10y-12xy

=9(6x-5)-2y(6x-5)

=(9-2y)(6x-5)



Q8 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

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Question 8

m3 + 4m + 5m2 + 20

Sol :

=m3+5m2+4m+20

=m2(m+5)+4(m+5)

=(m2+4)(m+5)



Q9 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

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Question 9

2axy2 + 10x + 3ay2 + 15

Sol :

=2axy2+10x+3ay2+15

=ay2(2x+3)+5(2x+3)

=(ay2+5)(2x+3)

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