Write each square as a trinomial. 1. \( (x+3)^{2} \) 3. \( (a-4)^{2} \)

To transform \( (x+3)^{2} \) into a trinomial, you expand it as follows: \[ (x+3)^{2} = x^{2} + 2 \cdot 3 \cdot x + 3^{2} = x^{2} + 6x + 9 \] Next, for \( (a-4)^{2} \), expand it in a similar way: \[ (a-4)^{2} = a^{2} - 2 \cdot 4 \cdot a + 4^{2} = a^{2} - 8a + 16 \] So, the trinomials are \( x^{2} + 6x + 9 \) and \( a^{2} - 8a + 16 \).