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Factorisation using Identities: Part 2 Video Lecture | Mathematics for Super TET
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FAQs on Factorisation using Identities: Part 2 Video Lecture - Mathematics for Super TET
| 1. How do I factorize a quadratic expression using the difference of squares identity? |  |
Ans. To factorize a quadratic expression using the difference of squares identity, you need to recognize the expression in the form of a^2 - b^2. Then, you can factorize it as (a + b)(a - b). This identity helps in factorizing quadratic expressions that are perfect square binomials.
| 2. Can you explain how to factorize a quadratic expression using the identity (a + b)^2 = a^2 + 2ab + b^2? | |
Ans. Yes, certainly! To factorize a quadratic expression using the identity (a + b)^2 = a^2 + 2ab + b^2, you should first identify the expression as a perfect square trinomial. Then, you can factorize it by taking the square root of the first and last terms and doubling the product of the square root of the first term and the square root of the last term.
| 3. What is the process for factorizing a quadratic expression using the identity (a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3? | |
Ans. The process for factorizing a quadratic expression using the identity (a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3 involves recognizing the expression as a difference of cubes. Then, you can factorize it using the formula a^3 - b^3 = (a - b)(a^2 + ab + b^2). This identity is useful for factoring expressions where the cube of one term is subtracted from the cube of another term.
| 4. How can I factorize a quadratic expression using the identity (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3? | |
Ans. To factorize a quadratic expression using the identity (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3, you need to recognize the expression as a sum of cubes. Then, you can factorize it using the formula a^3 + b^3 = (a + b)(a^2 - ab + b^2). This identity is helpful for factoring expressions where the cube of one term is added to the cube of another term.
| 5. Are there any other identities that can be used for factorization apart from the ones mentioned in the article? | |
Ans. Yes, there are several other identities that can be used for factorization. Some of them include the sum and difference of cubes identities, perfect square trinomial identities, and identities for factoring expressions involving special products like the square of a binomial or the product of conjugate binomials. These additional identities provide different techniques for factorizing quadratic expressions based on their specific forms.
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