0. Review of Algebra

Simplify each complex fraction. [ 2 + 2/(1+x) ] / [ 2 - 2/(1-x) ]

Simplify each complex fraction. [ 1/(a^3+b^3) ] / [ 1/(a^2 + 2ab + b^2) ]

Simplify each complex fraction. [ 1/(x^3-y^3) ] / [ 1/(x^2 -y^2) ]

Simplify each complex fraction. [ m - 1/(m^2-4) ] / [ 1/(m + 2) ]

Simplify each complex fraction. [ y + 1/(y^2-9) ] / [ 1/(y + 3) ]

Simplify each complex fraction. [ 3/(p^2-16) + p ] / [ 1/(p - 4) ]

Simplify each complex fraction. [ 6/(x^2-25) + x ] / [ 1/(x - 5) ]

Simplify each complex fraction. [ (-2)/(x+h) - (-2)/x ] / h

Perform all indicated operations, and write each answer with positive integer exponents. [ (x^-2 + y^-2)/ (x^-2 - y^-2) ] * [ (x+y)/(x-y) ]

Simplify each rational expression. Assume all variable expressions represent positivereal numbers. (Hint: Use factoring and divide out any common factors as a first step.) [(y^2 +2)^5(3y) - y^3(6)(y^2+2)^4(3y)] / [(y^2+2)^7]

Simplify each rational expression. Assume all variable expressions represent positivereal numbers. (Hint: Use factoring and divide out any common factors as a first step.) [(x^2 +1)^4(2x) - x^2(4)(x^2+1)^3(2x)] / [(x^2+1)^8]

Simplify each rational expression. Assume all variable expressions represent positivereal numbers. (Hint: Use factoring and divide out any common factors as a first step.) [4(x^2- 1)^3 + 8x(x^2-1)^4] / [16(x^2-1)^3]

Simplify each rational expression. Assume all variable expressions represent positivereal numbers. (Hint: Use factoring and divide out any common factors as a first step.) [10(4x^2-9)^2 - 25x(4x^2-9)^3] / [15(4x^2-9)^6]

In Exercises 91–100, find all values of x satisfying the given conditions.y = x^3 + 4x^2 - x + 6 and y = 10

Solve each polynomial equation in Exercises 1–10 by factoring and then using the zero-product principle.4x^3 - 12x^2 = 9x - 27