Exercise
$\frac{3x^{-3}-3x^3}{2x^{-2}-2x^2}$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the expression (3x^(-3)-3x^3)/(2x^(-2)-2x^2). Factor 3x^{-3}-3x^3 by the greatest common divisor 3. Factor 2x^{-2}-2x^2 by the greatest common divisor 2. Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). When multiplying exponents with same base you can add the exponents: -x^{-1}x.
Simplify the expression (3x^(-3)-3x^3)/(2x^(-2)-2x^2)
Final answer to the exercise
$\frac{3\left(1+x^2\right)x}{2\left(1-x^{4}\right)}\left(\frac{1}{x^{2}}-1+x^{2}\right)$