Question

unit exponents and polynomials progress: the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. find the product: (2x - 3)² 4x² + 9 4x² - 12x + 9 4x² - 6x + 9 4x - 6

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a - b)^2\) is \(a^2 - 2ab + b^2\). Here, \(a = 2x\) and \(b = 3\).

Step2: Apply the formula

First, calculate \(a^2=(2x)^2 = 4x^2\). Then, calculate \(2ab = 2\times(2x)\times3=12x\). Next, calculate \(b^2 = 3^2 = 9\). Now, substitute these into the formula: \((2x - 3)^2=(2x)^2-2\times(2x)\times3 + 3^2=4x^2-12x + 9\).

Answer:

\(4x^2 - 12x + 9\) (the option with this expression)