1. **Simplify the expression:** Given: $3a + 5b = 2c + 4a - 4b + 2c$ 2. **Rewrite the right side by combining like terms:** $2c + 4a - 4b + 2c = 4a - 4b + (2c + 2c) = 4a - 4b + 4c$ 3. **Bring all terms to one side to simplify:** $3a + 5b - 4a + 4b - 4c = 0$ 4. **Combine like terms:** $(3a - 4a) + (5b + 4b) - 4c = -a + 9b - 4c$ **Final simplified form:** $-a + 9b - 4c$ --- 5. **Factorise the expression:** Given: $9d + 21e$ 6. **Find the greatest common factor (GCF):** GCF of 9 and 21 is 3 7. **Factor out the GCF:** $9d + 21e = 3(3d + 7e)$ --- 8. **Expand and simplify:** (i) $4(8f - 5g)$ 9. **Distribute 4:** $4 \times 8f = 32f$ $4 \times (-5g) = -20g$ 10. **Final expression:** $32f - 20g$ (ii) $(h - 3)(h + 8)$ 11. **Use FOIL method:** First: $h \times h = h^2$ Outer: $h \times 8 = 8h$ Inner: $-3 \times h = -3h$ Last: $-3 \times 8 = -24$ 12. **Combine like terms:** $h^2 + 8h - 3h - 24 = h^2 + 5h - 24$ **Final expanded form:** $h^2 + 5h - 24$