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 2022-2023. 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
|Exercise: 14.1||PDF and Videos Solution|
CBSE NCERT Class 8 Maths Chapter 14 Exercise 14.1 Solution in Hindi and English Medium
Class 8 Maths Chapter 14 Exercise 14.1 Solution in Videos
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.
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.