Algebraic Identities | Polynomials #4 | Class 9 Maths

Показать описание

The algebraic equations which are valid for all values of variables in them are called algebraic identities. They are also used for the factorization of polynomials.In this video, we will cover:
1. Algebraic identity
2. Algebraic identity is an algebraic equation that is true for all values of the variables.
3. Find the following products using appropriate identities: (i) (x + 3)(x + 3) (ii) (x - 3) (x + 5)
4. Evaluate 105 × 106 without multiplying directly.
5. Factorise (i) 49a^2 + 70ab + 25b^2 (ii) (25/4) x^2 - (y^2/9)
6. Write (3a + 4b + 5c)^2 in expanded form.
7. Expand (4a – 2b – 3c)^2
8. Factorise 4x^2 + y^2 + z^2 – 4xy – 2yz + 4xz
9. Write the following cubes in the expanded form: (i) (3a + 4b)^3 (ii) (5p – 3q)^3
10. Evaluate each of the following using suitable identities: (i) (104)^3 (ii) (999)^3
11. Factorise 8x^3 + 27y^3 + 36x^2y + 54xy^2
12. Evaluate the following products without multiplying directly: (i) 103 × 107 (ii) 95 × 96 (iii) 104 × 96
13. Factorise the following using appropriate identities: (i) 9x^2 + 6xy + y^2 (ii) 4y^2 – 4y + 1
(iii) x^2 - (y^2/100)
14. What are the possible expressions for the dimensions of the cuboids whose volumes are given below? 3x^2 – 12x
15 NCERT Solutions Class 9 Maths Polynomials

About the Teacher:
Roshni Mukherjee, the Founder-Educator at LearnoHub has been building this free learning platform since 2011. She has been recognised as one of the 100 Women Achievers of India by the Ministry of Women & Child Development and felicitated by the President of India in 2016.
Roshni has been invited by Google to speak at Global Education Symposium 2017 held at Google Headquarters, California. Limca Book of Records also recognised our work.
#LearnoHubMaths #CBSEClass9Maths #SabkoSamajhAayega

Join us and let us together build this Free Learning Platform!
We will surely ensure that you enjoy the real learning with us.
Copyright © All rights reserved. LearnoHub | ExamFear Education