Open App

Class 9 Exam > Class 9 Videos > Examples (NCERT) - Algebraic Identities - Polynomials

Examples (NCERT) - Algebraic Identities - Polynomials Video Lecture - Class 9

FAQs on Examples (NCERT) - Algebraic Identities - Polynomials Video Lecture - Class 9

1. What are algebraic identities in polynomials?

Ans. Algebraic identities in polynomials are mathematical expressions that are true for all values of the variables involved. They help in simplifying algebraic expressions and solving equations. For example, (a + b)^2 = a^2 + 2ab + b^2 is an algebraic identity.

2. How do algebraic identities help in solving equations?

Ans. Algebraic identities help in solving equations by simplifying the expressions on both sides of the equation. By applying the relevant algebraic identity, we can transform the given equation into a simpler form, making it easier to find the solution. This simplification process is often used in factorization and expanding expressions as well.

3. Can algebraic identities be applied to any polynomial expression?

Ans. Algebraic identities can be applied to any polynomial expression that satisfies the conditions mentioned in the identity. However, it is important to note that not all polynomial expressions can be simplified using algebraic identities. Some expressions require other methods or techniques for simplification or solving.

4. What are some commonly used algebraic identities in polynomials?

Ans. Some commonly used algebraic identities in polynomials include: - (a + b)^2 = a^2 + 2ab + b^2 - (a - b)^2 = a^2 - 2ab + b^2 - (a + b)(a - b) = a^2 - b^2 - (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 - (a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3 These identities are frequently used in simplifying expressions, expanding brackets, and solving equations involving polynomials.

5. How can I memorize and apply algebraic identities effectively?

Ans. Memorizing and applying algebraic identities effectively requires practice and understanding. Here are some tips: - Familiarize yourself with the commonly used identities mentioned in textbooks or study materials. - Practice solving a variety of problems that involve the application of these identities. - Understand the conditions under which each identity can be applied. - Break down complex expressions into simpler ones and then apply the relevant identity. - Revise and review regularly to reinforce your understanding and memorization of the identities. By following these tips and practicing regularly, you can improve your ability to memorize and apply algebraic identities effectively.

Related Exams

Class 9

About this Video

2.4K Views

4.82/5 Rating

Mar 11, 2025 Last updated

Examples (NCERT) - Algebraic Identities - Polynomials for Class 92025 is part of Class 9 preparation. The notes and questions for Examples (NCERT) - Algebraic Identities - Polynomials have been prepared according to the Class 9 exam syllabus. Information about Examples (NCERT) - Algebraic Identities - Polynomials covers all important topics for Class 92025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Examples (NCERT) - Algebraic Identities - Polynomials.

Introduction of Examples (NCERT) - Algebraic Identities - Polynomials in English is available as part of our Class 9 preparation & Examples (NCERT) - Algebraic Identities - Polynomials in Hindi for Class 9 courses. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.

Description

Video Lecture & Questions for Examples (NCERT) - Algebraic Identities - Polynomials Video Lecture - Class 9 - Class 9 full syllabus preparation | Free video for Class 9 exam.

Information about Examples (NCERT) - Algebraic Identities - Polynomials

Here you can find the Examples (NCERT) - Algebraic Identities - Polynomials defined & explained in the simplest way possible. Besides explaining types of Examples (NCERT) - Algebraic Identities - Polynomials theory, EduRev gives you an ample number of questions to practice Examples (NCERT) - Algebraic Identities - Polynomials tests, examples and also practice Class 9 tests.

Exam

Viva Questions

Summary

Free

ppt

Important questions