1. **State the problem:** Factorise completely the expression $14xy - 7y^2$ using the factorising method. 2. **Identify common factors:** Look for the greatest common factor (GCF) of the terms $14xy$ and $7y^2$. 3. **Find the GCF:** - The coefficients are 14 and 7; the GCF is 7. - Both terms have a factor of $y$. - So, the GCF is $7y$. 4. **Factor out the GCF:** $$14xy - 7y^2 = 7y(\cancel{2}x - \cancel{1}y)$$ Here, we divided each term by $7y$: $$\frac{14xy}{7y} = 2x, \quad \frac{7y^2}{7y} = y$$ 5. **Write the final factorised form:** $$14xy - 7y^2 = 7y(2x - y)$$ This is the complete factorisation of the expression. **Answer:** $7y(2x - y)$