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Factorisation using Identities: Part 1 Video Lecture | Mathematics for Super TET
FAQs on Factorisation using Identities: Part 1 Video Lecture - Mathematics for Super TET
| 1. What are the basic identities used for factorization? |  |
Ans. The basic identities used for factorization are the difference of squares, perfect square trinomial, and the sum and difference of cubes.
| 2. How can I factorize a quadratic expression using the difference of squares identity? | |
Ans. To factorize a quadratic expression using the difference of squares identity, we need to rewrite the expression as a difference between two perfect squares and then factorize accordingly.
| 3. Can you explain how to factorize a perfect square trinomial using the corresponding identity? | |
Ans. Yes, to factorize a perfect square trinomial, we can use the identity (a + b)^2 = a^2 + 2ab + b^2. By identifying the coefficients of the terms in the trinomial, we can rewrite it in the form of the identity and factorize it.
| 4. What is the sum of cubes identity and how is it used for factorization? | |
Ans. The sum of cubes identity is (a^3 + b^3) = (a + b)(a^2 - ab + b^2). It is used for factorization by recognizing the expression as a sum of cubes, and then applying the identity to factorize it.
| 5. Is it possible to factorize a quadratic expression that cannot be factored using the basic identities? | |
Ans. Yes, it is possible to factorize a quadratic expression that cannot be factored using the basic identities. In such cases, we may need to use more advanced techniques like completing the square or applying the quadratic formula to find the factors of the expression.
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