Question

find the product. simplify your answer. (g - 1)(2g + 4)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \( g \times 2g = 2g^2 \)
Multiply the Outer terms: \( g \times 4 = 4g \)
Multiply the Inner terms: \( -1 \times 2g = -2g \)
Multiply the Last terms: \( -1 \times 4 = -4 \)
So we have \( 2g^2 + 4g - 2g - 4 \)

Step2: Combine like terms

Combine the \( g \)-terms: \( 4g - 2g = 2g \)
Now the expression becomes \( 2g^2 + 2g - 4 \)

Answer:

\( 2g^2 + 2g - 4 \)