Paper 22 Q22IGCSE 0580 May/June 2023

Question

5/(3x+2) + 4/(2x-1)

This question tests your ability to add algebraic fractions by finding a common denominator. This is a fundamental skill needed for solving rational equations and simplifying complex expressions.

Step-by-Step Solution

Key Takeaway

When adding algebraic fractions, always find a common denominator by multiplying the individual denominators together.

Common Mistakes

Adding the denominators instead of finding a common denominator - you cannot add fractions by simply adding numerators and denominators separately
Making sign errors when expanding brackets, particularly with 5(2x - 1) = 10x - 5, not 10x + 5

Exam Tip

Always check your final answer by substituting a simple value (like x = 1) into both your answer and the original expression to verify they're equal.

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