Question

find the product. simplify your answer. (j + 4)(3j - 3)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( (j + 4)(3j - 3) = j \cdot 3j + j \cdot (-3) + 4 \cdot 3j + 4 \cdot (-3) \)

Step2: Simplify each term

Calculate each product:
\( j \cdot 3j = 3j^2 \), \( j \cdot (-3) = -3j \), \( 4 \cdot 3j = 12j \), \( 4 \cdot (-3) = -12 \)

Step3: Combine like terms

Combine the linear terms (\(-3j\) and \(12j\)):
\( 3j^2 - 3j + 12j - 12 = 3j^2 + 9j - 12 \)

Answer:

\( 3j^2 + 9j - 12 \)