0. Review of Algebra

Write each rational expression in lowest terms. m^2 - 4m + 4 / m^2 + m - 6

Write each rational expression in lowest terms. 8m^2 + 6m - 9 / 16m^2 - 9

Write each rational expression in lowest terms. x^3 + 64 / x + 4

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

Multiply or divide, as indicated. (y^3 + y^2)/7 * 49/(y^4 + y^3)

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

Multiply or divide, as indicated. (x^2 - y^2)/(x - y)^2 * (x^2 - xy + y^2)/(x^2 - 2xy + y^2) ÷ (x^3 + y^3)/(x - y)^4

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

Multiply or divide, as indicated. ac + ad + bc + bd/a^2 - b^2 * a^3 - b^3/2a^2 + 2ab + 2b^2

Add or subtract, as indicated. 5/x + 2 + 2/x^2 - 2x + 4 - 60/x^3 + 8

Add or subtract, as indicated. 4/x + 1 + 1/x^2 - x + 1 - 12/x^3 + 1

Simplify each complex fraction. [1 + (1/x)] / (1-1/x)

Simplify each complex fraction. (2 - 2/y) / (2 + 2/y)

Simplify each complex fraction. [ 1/(x+1) - 1/x ] / (1/x)

Simplify each complex fraction. [ 1/(y+3) - 1/y ] / (1/y)