Question

The expression (3+z)^3 is equivalent to

Answer 1

${(3 + z)}^{2} \\ = {3}^{3} + {z}^{3} + 3 \times 3 \times z(3 + z) \\ = 27 + {z}^{3} + 9z(3 + z) \\ = 27 + {z}^{3} + 27z + 9 {z}^{2} \\ = {z}^{3} + 9 {z}^{2} + 27z + 27$