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Mindmap: Factorisation - Class 8

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FAQs on Mindmap: Factorisation - Class 8

1. What is factorisation and why is it important in mathematics?
2. How do you factorise a quadratic expression?
Ans.To factorise a quadratic expression of the form ax² + bx + c, you need to find two numbers that multiply to ac and add to b. You can then rewrite the expression as (px + q)(rx + s), where p, q, r, and s are the factors found.
3. What are the common methods used for factorisation?
Ans.Common methods for factorisation include taking out the common factor, grouping terms, using the difference of squares, and applying the quadratic formula for quadratic expressions. Each method applies to different types of expressions.
4. Can you explain the difference between factorisation and expansion?
Ans.Factorisation is the process of expressing an expression as a product of its factors, while expansion is the process of multiplying out the factors to get back to the original expression. They are inverse processes in algebra.
5. How can factorisation help in solving algebraic equations?
Ans.Factorisation helps in solving algebraic equations by allowing you to rewrite the equation in a form where you can set each factor to zero. This makes it easier to find the values of the variable that satisfy the equation.
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