Simplify each each expression. Multiply the two polynomials and write your answer in standard form. (4x+3)(4x-3)

First, we will use the distributive property to multiply the two polynomials:

(4x + 3)(4x - 3) = 4x(4x) + 4x(-3) + 3(4x) + 3(-3)
= 16x^2 - 12x + 12x - 9
= 16x^2 - 9

Therefore, (4x + 3)(4x - 3) simplifies to 16x^2 - 9.