Question

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

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(2r \times 3r = 6r^2\)
Multiply the Outer terms: \(2r \times 4 = 8r\)
Multiply the Inner terms: \(3 \times 3r = 9r\)
Multiply the Last terms: \(3 \times 4 = 12\)
So, \((2r + 3)(3r + 4)=6r^2 + 8r + 9r + 12\)

Step2: Combine like terms

Combine the \(r\)-terms: \(8r + 9r = 17r\)
So, the simplified expression is \(6r^2 + 17r + 12\)

Answer:

\(6r^2 + 17r + 12\)