Question

1. $x^2 - 14x + 49$

Explanation:

Step1: Identify perfect square form

The expression $x^2 - 14x + 49$ matches the perfect square trinomial pattern $a^2 - 2ab + b^2 = (a - b)^2$.

Step2: Assign values to a and b

Here, $a = x$ (since $x^2 = a^2$), and $b = 7$ (since $7^2 = 49$, and $2ab = 2*x*7 = 14x$).

Step3: Apply the perfect square formula

Substitute $a$ and $b$ into the formula:
$(x - 7)^2$

Answer:

$(x - 7)^2$