Class 8 Math: Factorisation Solved Examples & Step Solutions

The best way to gain confidence in mathematics is by studying solved examples. By analyzing how formulas are applied step-by-step, you learn how to tackle complex questions in your homework and exams. Let's walk through standard worked examples for Class 8 Factorisation.

Step-by-Step Solved Problems

Example 1: Splitting Middle Term

Worked Solution Steps:

1. Find two numbers that multiply to 12 and add to 7. These are 3 and 4.
2. Rewrite expression: x² + 3x + 4x + 12.
3. Factor by grouping: x(x + 3) + 4(x + 3).
4. Isolate factors: (x + 3)(x + 4).

Self-Practice Method

When studying these examples, cover the solution with a sheet of paper and attempt to solve the question on your own. If you get stuck, reveal the steps one by one to identify where your logic deviated. This active recall method builds long-term problem-solving skills.