# Factorisation RS Aggarwal Class-9th ICSE Maths Goyal Brothers

**Factorisation RS Aggarwal Class-9th** ICSE Maths Solutions Goyal Brothers Prakashan Chapter-4 . We provide step by step Solutions of Exercise / lesson-4 **Factorisation ** for **ICSE **Class-9 **RS Aggarwal** Mathematics .

Our Solutions contain all type Questions with Exe-4 A, Exe-4 B , Exe-4 C and Exe-4 D, to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-9 Mathematics.

Board | ICSE |

Publications | Goyal brothers Prakshan |

Subject | Maths |

Class | 9th |

Chapter-4 | Factorisation |

Writer | RS Aggrawal |

Book Name | Foundation |

Topics | Solution of Exe-4 A, Exe-4 B , Exe-4 C and Exe-4 D, to develop skill and confidence |

Academic Session | 2021-2022 |

**Factorisation RS Aggarwal Class-9th** ICSE Maths Solutions Goyal Brothers Prakashan Chapter-4

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#### Definition

factorisation or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number or a matrix, etc. This concept you will learn majorly in your classes 9.

#### factorisation method

It is simply the resolution of an integer or polynomial into factors such that when multiplied together they will result in original or initial the integer or polynomial. In the factorisation method, we reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets.

### Factorization Formula for a Quadratic Polynomial

A “quadratic” is a polynomial that is written like “ax^{2} + bx + c”, where “a”, “b”, and “c” are just numbers. For an easy case of factoring, you can identify the two numbers that will not only multiply to equal the constant term “c” but also add up to equal “b,” the coefficient on the x-term.

Factorising formulas algebra is especially important when solving quadratic polynomial When reducing formulas we normally have to remove all the brackets, but in particular cases, for example with fractional formulas, sometimes we can use factorisation to shorten a formula.

**What is a Factor?**

It is something that is to be multiplied.

Sum = term + term

Product = factor × factor

For example :

p = 4(2q – 6)

The 4 and 2q – 6 in the above formula are factors which are multiplied.

In factors 2q – 6 are 2q and –6 terms which are added.

In the term, 2q have the 2 and q as factors.

**Exercise – 4 A**, **Factorisation RS Aggarwal Solutions , Class-9th** ICSE Maths – Goyal Brothers Prakashan

Page 48-49

factorise:-

Question 1 to Question 5

1- 5x² – 20xy

Question 6 to Question 10

6– x(a-5)+y(5-a)

Question 11 to Question 17

11- x²+xy-2ax-2yz

#### Question 19 to Question 24

19- x²-(a+b)x+ab

** RS Aggarwal Class-9th ICSE Maths Solutions Goyal Brothers Prakashan Exercise – 4 B , Factorisation**

**Page 51**

**factorise question 1 to 30 :**

#### Question 1 to Question 8

1– x²-49

#### Question 9

#### Question 10 to Question 15

10- 9(x+a)²-4x²

#### Question 16 to Question 21

16- x²-1-2a-a²

#### Question 23 to Question 27

23- 4x²y-9y³

Answer

#### Question 28 to Question 31

28- ………………….. -4abcd

#### Question 33

Factorise:

### Exercise- 4 C, **Factorisation RS Aggarwal Class-9th** ICSE Maths Solutions Goyal Brothers Prakashan

Page 53

factorise :

#### Question 1 to Question 5

1- x³+64

#### Question 6 to Question 10

6– 216x³+1/27

#### Question 12 to Question 15

12- x³-125

#### Question 16 to Question 19

16- x6-1

#### Question 21 to Question 23

21- 2×7-128x

Question 25 to Question 27

25- 32a²……………

**Exercise- 4 D**

Page 55

#### Question 1

x²+9x+18

#### Question 31

5-(3…………. 2x)

–: End of **Factorisation RS Aggarwal** ICSE Class-9th Maths Solutions :–

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