NCERT Solutions for Class 8 Maths Chapter 14 Exercise 14.1 in Hindi and English Medium updated for CBSE session 2022-2023.

## 8th Maths Exercise 14.1 Solution in Hindi and English Medium

### Class 8 Maths Chapter 14 Exercise 14.1 Solution

Class VIII Mathematics NCERT Book Ex. 14.1 of Factorisation in Hindi Medium and English Medium updated for academic session 2022-23. 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 | Mathematics |

Chapter: 14 | Exercise: 14.1 |

Chapter Name: | Factorisation |

Content Type: | PDF and Videos Solution |

Medium: | Hindi and English Medium |

#### 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 â€¦â€¦â€¦â€¦â€¦(i)

And 10xy = 2 X 5 X x X y â€¦â€¦â€¦â€¦â€¦.(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 9xÂ² + 18x**

We can write,

9xÂ² = 3 X 3 X x X x

And 18x = 2 x 3 x 3 x x

9xÂ² + 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.