0. Review of Algebra

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 2(3x+1)^-3/2+4(3x+1)^-1/2+6(3x+1)^1/2

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 7(5t+3)^-5/3+14(5t+3)^-2/3-21(5t+3)^1/3

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 6y^3(4y-1)^-3/7-8y^2(4y-1)^4/7+16y(4y-1)^11/7

Factor each polynomial over the set of rational number coefficients. 49x^2-1/25

In Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers.36x²ⁿ − y²ⁿ

In Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers.x³ⁿ + y¹²ⁿ

Factor each polynomial over the set of rational number coefficients. (25/9)x^4-(9y^2)

Find all values of b or c that will make the polynomial a perfect square trinomial. 4z^2+bz+81

Find all values of b or c that will make the polynomial a perfect square trinomial. 100r^2-60r+c

Find all values of b or c that will make the polynomial a perfect square trinomial. 49x^2+70x+c

Exercises 143–145 will help you prepare for the material covered in the next section. In each exercise, factor completely.9b²x + 9b²y − 16x − 16y

Exercises 177–179 will help you prepare for the material covered in the next section.Factor completely: x^3 + x^2 - 4x - 4.