Question

1. simplify and write your answer in standard form.

(3x - 1)(2x + 2)
6x² + 4x - 2

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(3x \times 2x = 6x^2\)
Multiply the Outer terms: \(3x \times 2 = 6x\)
Multiply the Inner terms: \(-1 \times 2x = -2x\)
Multiply the Last terms: \(-1 \times 2 = -2\)
So, \((3x - 1)(2x + 2)=6x^2 + 6x - 2x - 2\)

Step2: Combine like terms

Combine the \(x\)-terms: \(6x - 2x = 4x\)
So, the simplified form is \(6x^2 + 4x - 2\)

Answer:

\(6x^2 + 4x - 2\)