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.

$7(5t+3{)}^{-\frac{5}{3}}+14(5t+3{)}^{-\frac{2}{3}}-21(5t+3{)}^{\frac{1}{3}}$

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. 49x²-1/25

Factor each polynomial over the set of rational number coefficients. (25/9)x⁴-(9y²)

Find all values of b or c that will make the polynomial a perfect square trinomial. 4z²+bz+81

Find all values of b or c that will make the polynomial a perfect square trinomial. 100r²-60r+c

Find all values of b or c that will make the polynomial a perfect square trinomial. 49x²+70x+c

Factor completely: $x^3+x^2-4x-4.$

Write each rational expression in lowest terms. 8x² + 16 / 4x²

Write each rational expression in lowest terms. 3(3 - t) / (t + 5)(t - 3)

Write each rational expression in lowest terms. 8k + 16 / 9k + 18