Find the product. Write your solution in standard form. (4x+1)(6x+3)(4𝑥+1)(6𝑥+3)

The given expression is (4x+1)(6x+3)(4x+1)(6x+3).

First, let's simplify the expression by multiplying the first two terms and the last two terms separately:

(4x+1)(6x+3) = 24x^2 + 18x + 6x + 3 = 24x^2 + 24x + 3

(4x+1)(6x+3) = 24x^2 + 18x + 6x + 3 = 24x^2 + 24x + 3

Now, we multiply these two results together:

(24x^2 + 24x + 3)(24x^2 + 24x + 3)

= 576x^4 + 576x^3 + 144x^2 + 576x^3 + 576x^2 + 144x + 72x^2 + 72x + 9

= 576x^4 + 1152x^3 + 792x^2 + 216x + 9

So, the product of the given expression in standard form is 576x^4 + 1152x^3 + 792x^2 + 216x + 9.