\( (4+y)^{2} \) Rewrite without parentheses and simplify. \( (4) \)

To rewrite \( (4+y)^{2} \) without parentheses, you can apply the square of a binomial formula: \( (a+b)^{2} = a^{2} + 2ab + b^{2} \). Here, \( a = 4 \) and \( b = y \). So, you have: \( (4+y)^{2} = 4^{2} + 2(4)(y) + y^{2} = 16 + 8y + y^{2} \). Bring it all together, and you get \( y^{2} + 8y + 16 \). Voila! No more parentheses and simplified! But wait, if you ever find yourself stuck on a binomial expansion, remember the classic acronym FOIL (First, Outside, Inside, Last)! It’s a great way to jog your memory on how to multiply two binomials. Just be careful not to mix up the signs—those pesky negatives can sneak up on you!