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Examples: Factorisation by Common Factors and Regrouping Video Lecture | Mathematics for Super TET
FAQs on Examples: Factorisation by Common Factors and Regrouping Video Lecture - Mathematics for Super TET
| 1. What is factorisation by common factors? |  |
Ans. Factorisation by common factors is a method used to break down a mathematical expression or equation into its smallest possible factors. In this method, we identify the factors that are common to all terms in the expression and then factor them out.
| 2. How does factorisation by common factors help in simplifying expressions? | |
Ans. Factorisation by common factors helps in simplifying expressions by reducing the complexity of the equation. By factoring out the common factors, we can rewrite the expression in a simpler form, making it easier to manipulate and solve.
| 3. Can you provide an example of factorisation by common factors? | |
Ans. Sure! Let's consider the expression 6x + 9y. The common factor here is 3, so we can factor it out to get 3(2x + 3y). By factoring out the common factor, we have simplified the expression.
| 4. Is factorisation by common factors applicable only to polynomials? | |
Ans. No, factorisation by common factors is not limited to polynomials. It can be applied to any mathematical expression or equation, including algebraic expressions, equations, and even numerical expressions.
| 5. Can factorisation by common factors be used to solve equations? | |
Ans. Yes, factorisation by common factors can be used to solve equations. By factoring out the common factors from both sides of the equation, we can simplify the equation and isolate the variable, making it easier to find its value.
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