Question

7 find the product. (4m + 3)(4m - 3) t. 4m² - 12m + 12 u. 16m² - 24m + 9 v. 16m² - 9 w. 8m² + 9

Explanation:

Step1: Identify the formula

The expression \((4m + 3)(4m - 3)\) is in the form of \((a + b)(a - b)\), which follows the difference of squares formula \((a + b)(a - b)=a^2 - b^2\). Here, \(a = 4m\) and \(b = 3\).

Step2: Apply the formula

Substitute \(a = 4m\) and \(b = 3\) into the formula:
\(a^2=(4m)^2 = 16m^2\)
\(b^2 = 3^2=9\)
So, \((4m + 3)(4m - 3)=(4m)^2-3^2 = 16m^2 - 9\)

Answer:

V. \(16m^2 - 9\)