# 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 for detail information about ICSE Board Class-9 Mathematics.

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

–: Select Topics :–

Exe-4 A,

Exe-4 B,

Exe-4 C.

Exe-4 D,

#### 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 “ax2 + 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

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

factorise question 1 to 30 :

#### Question 1 to Question 8

1–          x²-49

#### Question 10 to Question 15

10-         9(x+a)²-4x²

#### Question 16 to Question 21

16-    x²-1-2a-a²

23-   4x²y-9y³

#### Question 28 to Question 31

28-   ………………….. -4abcd

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

factorise :

1-         x³+64

#### Question 6 to Question 10

6–          216x³+1/27

12-    x³-125

16-  x6-1

21-    2×7-128x

#### Question 24

Question 25 to Question 27

25-     32a²……………

### Exercise- 4 D

x²+9x+18

#### Question 8 to Question 12

Question 13 to Question 16

Question 17 to Question 21

Question 22 to Question 23

#### Question 24

Question 25 and Question 26

Question 28

#### Question 31

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

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