The expression in the image is $(u + 7)^2$, and the task is to rewrite it without parentheses and simplify.

To expand $(u + 7)^2$, we use the formula for squaring a binomial:

$(a + b)^2 = a^2 + 2ab + b^2$

Here, $a = u$ and $b = 7$, so:

$(u + 7)^2 = u^2 + 2(u)(7) + 7^2$

Simplifying the terms:

$u^2 + 14u + 49$

Thus, the simplified form of $(u + 7)^2$ is:

$u^2 + 14u + 49$

Would you like more details or have any questions?

Here are five related questions to deepen understanding:

1. How do you expand $(u - 5)^2$?
2. Can you factor the expression $u^2 + 14u + 49$ back into its original form?
3. What is the general formula for expanding $(a + b)^2$?
4. How do you simplify $(u + 7)(u - 7)$?
5. What would change if the exponent were $3$ instead of $2$?

Tip: When expanding binomials, always remember to multiply both terms by each other twice!