Square the binomial and then simplify your answer.
(x - 3)^2 - 12
To square the binomial (x - 3), we use the formula (a - b)^2 = a^2 - 2ab + b^2. In this case, a = x and b = 3.
(x - 3)^2 = x^2 - 2(x)(3) + 3^2
= x^2 - 6x + 9
Now we can simplify further by subtracting 12 from this expression:
(x^2 - 6x + 9) - 12
= x^2 - 6x + 9 - 12
= x^2 - 6x - 3
So, (x - 3)^2 - 12 simplifies to x^2 - 6x - 3.