Question

multiply the binomials.
(2x + 8)(x + 2)

(2x + 8)(x + 2) = \square
(simplify your answer.)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(2x \cdot x = 2x^2\)
Multiply the Outer terms: \(2x \cdot 2 = 4x\)
Multiply the Inner terms: \(8 \cdot x = 8x\)
Multiply the Last terms: \(8 \cdot 2 = 16\)

Step2: Combine like terms

Combine the \(x\)-terms: \(4x + 8x = 12x\)
So the expression becomes \(2x^2 + 12x + 16\)

Answer:

\(2x^2 + 12x + 16\)