Factorisation
ICSE · Class 8 · Mathematics
Complete topic list for Factorisation in ICSE Class 8 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Factorisation
1. Basic Ideas and Common Factors
- A factor is each number or expression that forms a product.
- Factorisation means rewriting an expression as a product of simpler expressions.
- The largest monomial dividing each term should be taken out first.
2. Factorisation by Grouping
- Grouping is used when an expression has an even number of terms.
- Terms are arranged into groups so that each group has a common factor.
- After factorising each group, the common binomial or expression is taken out.
3. Difference of Two Squares
- A difference of two squares has the form x^2 - y^2.
- Its factors are (x + y)(x - y).
- The rule can be remembered as the sum of the two terms multiplied by their difference.
4. Factorising Trinomials
- A trinomial has three terms.
- To factorise a trinomial, split the middle term into two terms.
- The two new terms must have a sum equal to the middle term and a product equal to the product of the first and last terms.
Key Concepts
Central concept: Factorisation
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