Question

Find the product:

(3x + 1) (3x + 5)

Answer 1

Given: (3x + 1)(3x + 5)

Step-wise calculation:

1. Use the distributive property FOIL method: 

(3x + 1)(3x + 5) = (3x)(3x) + (3x)(5) + (1)(3x) + (1)(5)

2. Calculate each term:

(3x)(3x) = 9x²

(3x)(5) = 15x

(1)(3x) = 3x

(1)(5) = 5

3. Add the terms:

9x² + 15x + 3x + 5 = 9x² + 18x + 5