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Cancel
Factors only: Higher: Factorise top/bottom; cancel factors, never terms in sums
Domain: Higher: Original restrictions survive cancellation; 6x²/(9x)=2x/3
Products / quotients
Multiply: Higher: Cancel complete factors across top and bottom
Divide: Higher: Use reciprocal; divisor itself must also be non-zero
Add / subtract
Common denominator: Higher: Combine WHOLE numerators; keep brackets
Example: Higher: 1/(x−1)−1/(x+1)=2/(x²−1), x ≠ ±1
Equations
Clear fractions: Higher: Multiply BOTH sides by common denominator
Check roots: Higher: Test original equation; reject zero denominators
