0. Review of Algebra

Factor out the greatest common factor from each polynomial. See Example 1. $4k^2{m}^3+8k^4{m}^3-12k^2{m}^4$

Factor each polynomial by grouping. See Example 2. $20z^2-8x+5p{z}^2-2px$

In Exercises 49–56, factor each perfect square trinomial. 4x^2+4x+1

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

Factor out the greatest common factor from each polynomial. See Example 1. (4z-5)(3z-2)-(3z-9)(3z-2)

Factor out the greatest common factor from each polynomial. See Example 1. $-4p^3{q}^4-2p^2{q}^5$

Simplify each complex fraction. $\(\frac{m - \frac{1}{m^2 - 4}\)}{\(\frac{1}{m + 2}\)}$

Factor the difference of two squares. $64x^2-81$

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8.

$3m^{\frac{2}{3}}-4m^{-\frac{1}{3}}$

Simplify each complex fraction. [ y + 1/(y²-9) ] / [ 1/(y + 3) ]

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

Factor the polynomial using special product formulas.

$25x^2-110x+121$