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. $(x+y{)}^2-(x-y{)}^2$

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