#### 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

#### Balbharati Balbharati Class 8 Mathematics

## Chapter 6: Factorisation of Algebraic expressions

#### Chapter 6: Factorisation of Algebraic expressions Exercise Practice Set 6.1 solutions [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

#### Chapter 6: Factorisation of Algebraic expressions Exercise Practice Set 6.2 solutions [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`

#### Chapter 6: Factorisation of Algebraic expressions Exercise Practice Set 6.3 solutions [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}

#### Chapter 6: Factorisation of Algebraic expressions Exercise Practice Set 6.4 solutions [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 Balbharati Class 8 Mathematics

#### Textbook solutions for Class 8

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

Balbharati solutions for Class 8 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 Balbharati Class 8 Mathematics solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in 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.

Using Balbharati Class 8 solutions Factorisation of Algebraic expressions exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Balbharati Solutions are important questions that can be asked in the final exam. Maximum students of Maharashtra State Board Class 8 prefer Balbharati Textbook Solutions to score more in exam.

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