#### Chapters

Chapter 2: Parallel lines and transversals

Chapter 3: Indices and Cube root

Chapter 4: Altitudes and Medians of a triangle

Chapter 5: Expansion formulae

Chapter 6: Factorisation of Algebraic expressions

Chapter 7: Variation

Chapter 8: Quadrilateral : Constructions and Types

Chapter 9: Discount and Commission

Chapter 10: Division of Polynomials

Chapter 11: Statistics

Chapter 12: Equations in one variable

Chapter 13: Congruence of triangles

Chapter 14: Compound interest

Chapter 15: Area

Chapter 16: Surface area and Volume

Chapter 17: Circle : Chord and Arc

## Chapter 6: Factorisation of Algebraic expressions

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

Factorise.

x^{2 }+ 9x + 18

Factorise.

x^{2 }− 10x + 9

Factorise.

y^{2 }+ 24y + 144

Factorise.

5y^{2 }+ 5y − 10

Factorise.

p^{2 }− 2p − 35

Factorise.

p^{2 }− 7p − 44

Factorise.

m^{2 }− 23m + 120

Factorise.

m^{2 }− 25m + 100

Factorise.

3x^{2 }+ 14x + 15

Factorise.

2x^{2 }+ x − 45

Factorise.

20x^{2 }− 26x + 8

Factorise.

44x^{2 }− x − 3

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

Factorise.

x^{3 }+ 64y^{3}

Factorise.

125p^{3 }+ q^{3}

Factorise.

125k^{3 }+ 27m^{3}

Factorise.

2l^{3 }+ 432m^{3}

Factorise.

24a^{3 }+ 81b^{3}

Factorise.

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

Factorise.

`a^3 + 8/a^3`

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]

Factorise :

y^{3 }− 27

Factorise:

x^{3 }− 64y^{3}

Factorise:

27m^{3 }− 216n^{3}

Factorise:

125y^{3 }− 1

Factorise:

8p^{3 }−\[\frac{27}{p^3}\]

Factorise:

343a^{3} − 512b^{3}

Factorise:

64x^{3 }− 729y^{3}

Factorise:

16a^{3 }−\[\frac{128}{b^3}\]

Simplify :

(x + y)^{3 }− (x − y)^{3}

Simplify:

(3a + 5b)^{3 }− (3a − 5b)^{3}

Simplify:

(a + b)^{3 }− a^{3 }− b^{3}

Simplify:

p^{3 }− (p + 1)^{3}

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]

Simplify :

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

Simplify :

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

Simplify :

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

Simplify :

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

Simplify :

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

Simplify :

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

Simplify :

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

Simplify :

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

## Chapter 6: Factorisation of Algebraic expressions

## 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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