Question

texascollegebridge
study paths initial diagnostic: tx math bridge - stage 2
tx math bri
exponents and polynomials
progress:
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find the product: (6x - 1)(6x + 1)
12x - 1
36x² - 12x - 1
36x² - 1
12x² - 1

Explanation:

Step1: Apply difference of squares formula

The expression \((6x - 1)(6x + 1)\) is a difference of squares: \((a - b)(a + b) = a^2 - b^2\), where \(a = 6x\) and \(b = 1\).

Step2: Calculate \(a^2\) and \(b^2\)

\(a^2 = (6x)^2 = 36x^2\), \(b^2 = 1^2 = 1\).

Step3: Substitute into the formula

\(a^2 - b^2 = 36x^2 - 1\).

Answer:

C. \(36x^2 - 1\)