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# Balbharati solutions for Maharashtra state board Class 8 Mathematics chapter 6 - Factorisation of Algebraic expressions [Latest edition]

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## Chapter 6: Factorisation of Algebraic expressions

Practice Set 6.1Practice Set 6.2Practice Set 6.3Practice Set 6.4

#### Balbharati solutions for Maharashtra state board Class 8 Mathematics Chapter 6 Factorisation of Algebraic expressions Exercise Practice Set 6.1 [Page 30]

Practice Set 6.1 | Q 1 | Page 30

Factorise.

x+ 9x + 18

Practice Set 6.1 | Q 2 | Page 30

Factorise.

x− 10x + 9

Practice Set 6.1 | Q 3 | Page 30

Factorise.

y+ 24y + 144

Practice Set 6.1 | Q 4 | Page 30

Factorise.

5y+ 5y − 10

Practice Set 6.1 | Q 5 | Page 30

Factorise.

p− 2p − 35

Practice Set 6.1 | Q 6 | Page 30

Factorise.

p− 7p − 44

Practice Set 6.1 | Q 7 | Page 30

Factorise.

m− 23m + 120

Practice Set 6.1 | Q 8 | Page 30

Factorise.

m− 25m + 100

Practice Set 6.1 | Q 9 | Page 30

Factorise.

3x+ 14x + 15

Practice Set 6.1 | Q 10 | Page 30

Factorise.

2x+ x − 45

Practice Set 6.1 | Q 11 | Page 30

Factorise.

20x− 26x + 8

Practice Set 6.1 | Q 12 | Page 30

Factorise.

44x− x − 3

#### Balbharati solutions for Maharashtra state board Class 8 Mathematics Chapter 6 Factorisation of Algebraic expressions Exercise Practice Set 6.2 [Page 31]

Practice Set 6.2 | Q 1 | Page 31

Factorise.

x+ 64y3

Practice Set 6.2 | Q 2 | Page 31

Factorise.

125p+ q3

Practice Set 6.2 | Q 3 | Page 31

Factorise.

125k+ 27m3

Practice Set 6.2 | Q 4 | Page 31

Factorise.

2l+ 432m3

Practice Set 6.2 | Q 5 | Page 31

Factorise.

24a+ 81b3

Practice Set 6.2 | Q 6 | Page 31

Factorise.

y^3 + 1/(8y^3)

Practice Set 6.2 | Q 7 | Page 31

Factorise.

a^3 + 8/a^3

Practice Set 6.2 | Q 8 | Page 31

Factorise.

1 + q^3/125

#### Balbharati solutions for Maharashtra state board Class 8 Mathematics Chapter 6 Factorisation of Algebraic expressions Exercise Practice Set 6.3 [Page 32]

Practice Set 6.3 | Q 1.1 | Page 32

Factorise :

y− 27

Practice Set 6.3 | Q 1.2 | Page 32

Factorise:

x− 64y3

Practice Set 6.3 | Q 1.3 | Page 32

Factorise:

27m− 216n3

Practice Set 6.3 | Q 1.4 | Page 32

Factorise:

125y− 1

Practice Set 6.3 | Q 1.5 | Page 32

Factorise:

8p−$\frac{27}{p^3}$

Practice Set 6.3 | Q 1.6 | Page 32

Factorise:

343a3 − 512b3

Practice Set 6.3 | Q 1.7 | Page 32

Factorise:

64x− 729y3

Practice Set 6.3 | Q 1.8 | Page 32

Factorise:

16a−$\frac{128}{b^3}$

Practice Set 6.3 | Q 2.1 | Page 32

Simplify :

(x + y)− (x − y)3

Practice Set 6.3 | Q 2.2 | Page 32

Simplify:

(3a + 5b)− (3a − 5b)3

Practice Set 6.3 | Q 2.3 | Page 32

Simplify:

(a + b)− a− b3

Practice Set 6.3 | Q 2.4 | Page 32

Simplify:

p− (p + 1)3

Practice Set 6.3 | Q 2.5 | Page 32

Simplify:

(3xy − 2ab)3 − (3xy + 2ab)3

#### Balbharati solutions for Maharashtra state board Class 8 Mathematics Chapter 6 Factorisation of Algebraic expressions Exercise Practice Set 6.4 [Page 33]

Practice Set 6.4 | Q 1 | Page 33

Simplify :

$\frac{m^2 - n^2}{\left( m + n \right)^2} \times \frac{m^2 + mn + n^2}{m^3 - n^3}$

Practice Set 6.4 | Q 2 | Page 33

Simplify :

$\frac{a^2 + 10a + 21}{a^2 + 6a - 7} \times \frac{a^2 - 1}{a + 3}$

Practice Set 6.4 | Q 3 | Page 33

Simplify :

$\frac{8 x^3 - 27 y^3}{4 x^2 - 9 y^2}$

Practice Set 6.4 | Q 4 | Page 33

Simplify :

$\frac{x^2 - 5x - 24}{\left( x + 3 \right)\left( x + 8 \right)} \times \frac{x^2 - 64}{\left( x - 8 \right)^2}$

Practice Set 6.4 | Q 5 | Page 33

Simplify :

$\frac{3 x^2 - x - 2}{x^2 - 7x + 12} \div \frac{3 x^2 - 7x - 6}{x^2 - 4}$

Practice Set 6.4 | Q 6 | Page 33

Simplify :

$\frac{4 x^2 - 11x + 6}{16 x^2 - 9}$

Practice Set 6.4 | Q 7 | Page 33

Simplify :

$\frac{a^3 - 27}{5 a^2 - 16a + 3} \div \frac{a^2 + 3a + 9}{25 a^2 - 1}$

Practice Set 6.4 | Q 8 | Page 33

Simplify :

$\frac{1 - 2x + x^2}{1 - x^3} \times \frac{1 + x + x^2}{1 + x}$

## Chapter 6: Factorisation of Algebraic expressions

Practice Set 6.1Practice Set 6.2Practice Set 6.3Practice Set 6.4

## Balbharati solutions for Maharashtra state board Class 8 Mathematics chapter 6 - Factorisation of Algebraic expressions

Balbharati solutions for Maharashtra state board Class 8 Mathematics chapter 6 (Factorisation of Algebraic expressions) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Maharashtra state board Class 8 Mathematics solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Maharashtra state board Class 8 Mathematics chapter 6 Factorisation of Algebraic expressions are Factors of a Quadratic Trinomial, Factors of A3 + B3, Factors of A3 - B3, Rational Algebraic Expressions.

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