Question

the expression is ((x - 7)^2), and the options are (x^2 + 49), (x^2 - 49), (x^2 - 14x - 49), (x^2 - 14x + 49).

Explanation:

Step1: Expand the square using formula

Recall the perfect square formula: $(a-b)^2 = a^2 - 2ab + b^2$. Here $a=x$, $b=7$.
$$(x-7)^2 = x^2 - 2(x)(7) + 7^2$$

Step2: Calculate each term

Compute the products and constants:
$$x^2 - 14x + 49$$

Answer:

$\boldsymbol{x^2-14x+49}$ (the bottom teal card)