Question

find the product. simplify your answer.
(4d + 3)(2d + 3)

Explanation:

Step1: Apply distributive law (FOIL)

Multiply each term: \( (4d)(2d) + (4d)(3) + (3)(2d) + (3)(3) \)

Step2: Simplify each product

Calculate: \( 8d^2 + 12d + 6d + 9 \)

Step3: Combine like terms

Add \( 12d \) and \( 6d \): \( 8d^2 + 18d + 9 \)

Answer:

\( 8d^2 + 18d + 9 \)