0. Review of Algebra

Factor by any method. See Examples 1–7. $q^2+6q+9-p^2$

Factor by any method. See Examples 1–7. 64+(3x+2)³

Factor and simplify each algebraic expression.$[12x^{-\frac{1}{2}}+6x^{-\frac{3}{2}}]$

In Exercises 103–114, factor completely. x⁴−5x²y²+4y⁴

Factor by any method. See Examples 1–7. $(x+y{)}^3-(x-y{)}^3$

In Exercises 103–114, factor completely. (x+y)⁴−100(x+y)²

Factor by any method. See Examples 1–7. (3a+5)²-18(3a+5)+81

Factor by any method. See Examples 1–7. $(x+y{)}^2-(x-y{)}^2$

Factor by any method. See Examples 1–7. $4z^4-7z^2-15$

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4k^-1+k^-2

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 9z^-1/2+2z^1/2

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

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

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 6r^-2/3-5r^-5/3

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. -4a^-2/5+16a^-7/5

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

$(3r+1{)}^{-\frac{2}{3}}+(3r+1{)}^{\frac{1}{3}}+(3r+1{)}^{\frac{4}{3}}$