0. Review of Algebra

Factor by any method. See Examples 1–7. 4z²+28z+49

Factor and simplify each algebraic expression. $-8(4x + 3)^{-2} + 10(5x + 1)(4x + 3)^{-1}$

In Exercises 103–114, factor completely. 6x⁴+35x²−6

Factor and simplify each algebraic expression. $16x^{-\frac{3}{4}}+32x^{\frac{1}{4}}$

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