#### 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

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## Solutions for Chapter 6: Factorisation of Algebraic expressions

Below listed, you can find solutions for Chapter 6 of Maharashtra State Board Balbharati for Mathematics 8th Standard Maharashtra State Board.

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 6 Factorisation of Algebraic expressions 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 Mathematics 8th Standard Maharashtra State Board Chapter 6 Factorisation of Algebraic expressions 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 Mathematics 8th Standard Maharashtra State Board Chapter 6 Factorisation of Algebraic expressions 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 Mathematics 8th Standard Maharashtra State Board Chapter 6 Factorisation of Algebraic expressions 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 :

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

## Solutions for Chapter 6: Factorisation of Algebraic expressions

## Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 6 - Factorisation of Algebraic expressions

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Concepts covered in Mathematics 8th Standard Maharashtra State Board chapter 6 Factorisation of Algebraic expressions are Factorisation of a Quadratic Trinomial by Splitting the Middle Term, Factorisation using Identity a3 + b3 = (a + b)(a2 - ab + b2), Factorisation using Identity a3 - b3 = (a - b)(a2 + ab + b2), Rational Algebraic Expressions.

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