8th Math NCERT Chapter 12
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Topics to study from the chapter on Factorisation:
1. Introduction to Factors of Natural Numbers:
– Natural numbers can be expressed as products of their factors, including prime factors, which can be further applied to algebraic expressions.
2. Factors of Algebraic Expressions:
– In algebraic expressions, terms are formed as products of irreducible factors, and expressions can be written in prime factor form.
3. Factorisation:
– The process of writing algebraic expressions as a product of factors which may include numbers, variables, or expressions.
4. Method of Common Factors:
– Factorising expressions through identifying and utilizing common factors to simplify the expressions.
5. Factorisation by Regrouping Terms:
– Rearranging terms within an expression to identify common factors and factorising accordingly.
By understanding these topics, students can effectively factorise algebraic expressions by identifying common factors and expressing them as a product of irreducible factors.
What are prime factors? Provide an example related to natural numbers.
Explain what is meant by irreducible factors in algebraic expressions.
How can an algebraic expression be factorised? Provide a brief explanation.
Explain the method of common factors in factorisation with an example.
Describe how factorisation by regrouping terms works with a specific example.
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