0. Review of Algebra

Factor completely: $x^3+x^2-4x-4.$

Write each rational expression in lowest terms. 8x² + 16 / 4x²

Write each rational expression in lowest terms. 3(3 - t) / (t + 5)(t - 3)

Write each rational expression in lowest terms. 8k + 16 / 9k + 18

Write each rational expression in lowest terms. m² - 4m + 4 / m² + m - 6

Write each rational expression in lowest terms. 8m² + 6m - 9 / 16m² - 9

Write each rational expression in lowest terms. x³ + 64 / x + 4

Multiply or divide, as indicated. (2k + 8)/6 ÷ (3k + 12)/2

Multiply or divide, as indicated. (y³ + y²)/7 * 49/(y⁴ + y³)

Multiply or divide, as indicated. (m² + 3m + 2)/(m² + 5m + 4) ÷ (m² + 5m + 6)/(m² + 10m + 24)

Multiply or divide, as indicated. (x² - y²)/(x - y)² * (x² - xy + y²)/(x² - 2xy + y²) ÷ (x³ + y³)/(x - y)⁴

Multiply or divide, as indicated. (xz - xw + 2yz - 2yw)/(z² - w²) * (4z + 4w + xz + wx)/(16 - x²)

Multiply or divide, as indicated. ac + ad + bc + bd/a² - b² * a³ - b³/2a² + 2ab + 2b²

Add or subtract, as indicated. 5/x + 2 + 2/x² - 2x + 4 - 60/x³ + 8