Which expression is equivalent to (3x - 2)(x + 4)?

Using FOIL: 3x·x + 3x·4 + (−2)·x + (−2)·4 = 3x² + 12x − 2x − 8 = 3x² + 10x − 8.

A car travels 240 km in 3 hours. At the same speed, how long will it take to travel 400 km?

Speed = 80 km/h; time = 400 ÷ 80 = 5 hours.

3⁻² = 1/9 and 9⁰ = 1, so 1/9 + 1 = 10/9.

Factor the numerator as (x−3)(x+3); canceling (x−3) leaves x+3.

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Solve for x: 2x² - 8 = 0