Question

Which expression is equivalent to

(3x+2)(3x−2)/1?

A) 3x² −4
B) 9x² −4
C) 9x² −2
D) 3x² −2

Answer 1

To find the expression equivalent to (3x+2)(3x-2)/1, we need to multiply the binomials and simplify to obtain 9x^2 - 4, which corresponds to option B.

Step-by-step explanation:

To find the expression equivalent to (3x+2)(3x-2)/1, we need to multiply the binomials and simplify. Here are the steps:

1. Multiply the terms in the first set of parentheses by the terms in the second set of parentheses: (3x)(3x) + (3x)(-2) + (2)(3x) + (2)(-2)
2. Simplify each respective term: 9x^2 - 6x + 6x - 4
3. Combine like terms: 9x^2 - 4

So, the expression equivalent to (3x+2)(3x-2)/1 is 9x^2 - 4, which corresponds to option B.