Question

change to standard form:
$(x + 5)^2$
$y = x^2 + 25$
$y = x^2 + 10x + 25$
$y = x^2 + 10 x + 10$
$y = x^2 + 10$

Explanation:

Step1: Expand using binomial formula

Recall the binomial square formula: $(a+b)^2 = a^2 + 2ab + b^2$. Here, $a=x$, $b=5$.

$$\begin{align*} (x+5)^2 &= x^2 + 2(x)(5) + 5^2 \end{align*}$$

Step2: Calculate each term

Compute the products and squares:

$$\begin{align*} (x+5)^2 &= x^2 + 10x + 25 \end{align*}$$

Answer:

B. $y = x^2 + 10x + 25$