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Factorisation by Regrouping Terms Video Lecture | Mathematics for Super TET

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FAQs on Factorisation by Regrouping Terms Video Lecture - Mathematics for Super TET

1. What is factorization by regrouping terms?
Ans. Factorization by regrouping terms is a method used to factorize algebraic expressions by rearranging the terms in a way that common factors can be extracted.
2. How does factorization by regrouping terms work?
Ans. To factorize an expression by regrouping terms, we group the terms in pairs and look for common factors. Then, we factor out the common factor from each pair of terms and rewrite the expression accordingly.
3. Can you provide an example of factorization by regrouping terms?
Ans. Sure! Let's consider the expression 3x + 6y + 2x + 4y. By regrouping the terms, we can pair them as (3x + 2x) and (6y + 4y). Now, we can factor out the common factors from each pair, which gives us 5x + 10y as the factorized form.
4. When should factorization by regrouping terms be used?
Ans. Factorization by regrouping terms is useful when we have an algebraic expression with multiple terms and we want to find the common factors. It helps simplify the expression and identify any common factors that can be extracted.
5. Are there any limitations to factorization by regrouping terms?
Ans. Yes, there are certain limitations to factorization by regrouping terms. It can only be applied when there are common factors present in the expression. If there are no common factors, then this method cannot be used for factorization. Additionally, it may not be applicable for expressions with complex terms or variables raised to higher powers.
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