\( 36 x+54 \) Complete the statements. \( 9(4 x+6) \square \) equivalent to \( 36 x+54 \). \( 4(9 x+11) \square \) equivalent to \( 36 x+54 \). \( 18(2 x+3) \)

To complete the statements, we can factor the expression \( 36x + 54 \) in different ways. For the first statement, we see that \( 9(4x + 6) \) is equivalent to \( 36x + 54 \) when you expand it: \( 9 \cdot 4x + 9 \cdot 6 = 36x + 54 \), so the first box is \( = \). In the second statement, \( 4(9x + 11) \) is not equivalent to \( 36x + 54 \) because if you expand \( 4(9x + 11) \), you get \( 36x + 44 \), not \( 36x + 54 \). Thus, the second box is \( \neq \). Finally, for \( 18(2x + 3) \), when expanded, you will also find that it equals \( 36x + 54 \) as \( 18 \cdot 2x + 18 \cdot 3 = 36x + 54 \), confirming that it is equivalent.