Question

multiply.
(3x - 2y)(3x + 2y)
simplify your answer.

Explanation:

Step1: Apply the difference of squares formula

The formula for the difference of squares is \((a - b)(a + b)=a^2 - b^2\). Here, \(a = 3x\) and \(b = 2y\).
So, \((3x - 2y)(3x + 2y)=(3x)^2-(2y)^2\)

Step2: Simplify the squares

Calculate \((3x)^2\) and \((2y)^2\). \((3x)^2 = 3^2\times x^2 = 9x^2\) and \((2y)^2 = 2^2\times y^2 = 4y^2\).
So, \((3x)^2-(2y)^2 = 9x^2 - 4y^2\)

Answer:

\(9x^2 - 4y^2\)