- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Akhileshwar Nani has Published 204 Articles
Akhileshwar Nani
111 Views
Given:The given expression is $2xyz+3x^2y+4y^2$.To do:We have to find the greatest common factor of the terms in the given expression.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of ... Read More
Akhileshwar Nani
85 Views
Given:The given expression is $5a^4+10a^3-15a^2$.To do:We have to find the greatest common factor of the terms in the given expression.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of ... Read More
Akhileshwar Nani
111 Views
Given:Given polynomials are $14x^3y^5, 10x^5y^3$ and $2x^2y^2$.To do:We have to find the greatest common factor of the given polynomials.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the ... Read More
Akhileshwar Nani
52 Views
To do:We have to show that:(i) $(3x + 7)^2 - 84x = (3x - 7)^2$(ii) $(9a - 5b)^2 + 180ab = (9a + 5b)^2$(iii) $(\frac{4m}{3} - \frac{3n}{4})^2 + 2mn = \frac{16m^2}{9} + \frac{9n^2}{16}$(iv) $(4pq + 3q)^2 - (4pq - 3q)^2 = 48pq^2$(v) $(a - b) (a + b) + (b ... Read More
Akhileshwar Nani
155 Views
Given:Given polynomials are $2x^2$ and $12x^2$.To do:We have to find the greatest common factor of the given polynomials.Solution:HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The highest common factor (HCF) of those numbers is found by finding all common factors of the numbers ... Read More
Akhileshwar Nani
75 Views
Given:(i) $102 \times 106$(ii) $109 \times 107$(iii) $35 \times 37$(iv) $53 \times 55$(v) $103 \times 96$(vi) $34 \times 36$(vii) $994 \times 1006$To do:We have to find the given products.Solution:Here, to find the given products we can use distributive property twice.Distributive Property:The distributive property of multiplication states that when a factor ... Read More
Akhileshwar Nani
86 Views
To do:We have to find the given products.Solution:Here, to find the given products we can use distributive property twice.Distributive Property:The distributive property of multiplication states that when a factor is multiplied by the sum or difference of two terms, it is essential to multiply each of the two numbers by ... Read More
Akhileshwar Nani
139 Views
Given:Given polynomials are $2x^3y^2, 10x^2y^3$ and $14xy$.To do:We have to find the greatest common factor of the given polynomials.Solution:HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The highest common factor (HCF) of those numbers is found by finding all common factors of the ... Read More
Akhileshwar Nani
119 Views
Given:Given polynomials are $15a^3, -45a^2$ and $-150a$.To do:We have to find the greatest common factor of the given polynomials.Solution:GCF/HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest/highest common factor (GCF/HCF) of those numbers is found by finding all common factors of the ... Read More
Akhileshwar Nani
130 Views
Given:Given polynomials are $x^3$ and $-yx^2$.To do:We have to find the greatest common factor of the given polynomials.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers ... Read More