Question

find the product. simplify your answer.
(3x + 1)(4x + 1)

Explanation:

Step1: Apply FOIL method

$(3x+1)(4x+1) = 3x\cdot4x + 3x\cdot1 + 1\cdot4x + 1\cdot1$

Step2: Calculate each term

$= 12x^2 + 3x + 4x + 1$

Step3: Combine like terms

$= 12x^2 + (3x+4x) + 1 = 12x^2 + 7x + 1$

Answer:

$12x^2 + 7x + 1$