(3/4x-1/6)(3/4x+1/6)

What? Retype the equation.

(3/4x-1/6)(3/4x+1/6)=

Find the following special product. Simplify your answer completely.

Thank you.

To simplify the expression (3/4x - 1/6)(3/4x + 1/6), you can use the distributive property and multiply each term in the first expression by each term in the second expression.

Let's break down the steps:

Step 1: Multiply the terms in the first parentheses by each term in the second parentheses:

(3/4x)(3/4x) + (3/4x)(1/6) + (-1/6)(3/4x) + (-1/6)(1/6)

Step 2: Simplify each multiplication:

(9/16)x^2 + (3/24)x - (3/24)x - (1/36)

Step 3: Combine like terms:

(9/16)x^2 + (3/24 - 3/24)x - (1/36)

Step 4: Further simplify:

(9/16)x^2 - (1/36)

Therefore, the simplified expression is (9/16)x^2 - (1/36).