# NCERT Solutions for Class 8 Maths Chapter 14 Exercise 14.1

NCERT Solutions for Class 8 Maths Chapter 14 Exercise 14.1 (Ex. 14.1) Factorisation in Hindi Medium and English Medium updated for academic session 2021-2022. Videos and PDF solutions are given here, which contains the step by step solution of all questions of factorisation exercises.

Class 8 mathematics exercise 14.1 contains the questions based on common factors of algebraic expression. There is no need to login or registration to access the contents on Tiwari Academy.

## Class 8 Maths Chapter 14 Exercise 14.1 Solution

 Class: 8 Mathematics Chapter: 14 Factorisation Exercise: 14.1 PDF and Videos Solution

### Class 8 Maths Chapter 14 Exercise 14.1 Solution in Videos

Class 8 Maths Chapter 14 Exercise 14.1 Solution
Class 8 Maths Chapter 14 Exercise 14.1 Explanation

#### Factors:

When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a factor of the given expression.

#### Factorisation:

The process of finding two or more expressions whose product is the given expression is called factorisation.

Note: Factorisation is the reverse process of multiplication.

##### Find factors of 15x + 10xy.

We can write 15x + 10xy as
15x = 3 X 5 X x ……………(i)
And 10xy = 2 X 5 X x X y …………….(ii)
In (i) and (ii), 5 and x are common factors, so, we can write
15x + 10xy = (3 X 5 X x) + (3 X 5 X x X y)
= (5 X x) (3 + 2y)
= (5x) (3 + 2y)
Hence, the factors of 15x + 10xy are 5x and (3 + 2y)

##### Factorise the 9x² + 18x

We can write,
9x² = 3 X 3 X x X x
And 18x = 2 x 3 x 3 x x
9x² + 18x = (3 X 3 X x X x) + (2 x 3 x 3 x x)
= 3 X 3 X x (x + 2) (3 x 3 x x is common)
= 9x (x + 2)

##### How is factorization used in real life?

Factoring is a useful skill in real life. Common applications include: dividing something into equal pieces, exchanging money, comparing prices, understanding time and making calculations during travel.

##### What is the difference between factor and factorization?

Difference between factorization and factor, is that factorization is (mathematics): an expression listing items that, when multiplied together, will produce a desired quantity while factor is (mathematics) any of various objects multiplied together to form some whole.

##### What are the common factors for 25 and 30?

Greatest Common Factor of 25 and 30
25 = 1 x 5 x 5 and
30 = 1 x 2 x 3 x 5
Greatest common factor (GCF) of 25 and 30 is 5.      