Exercise
$\left(\frac{1}{x^4-3x^3}+2x+30\right)$
Step-by-step Solution
Learn how to solve factorization problems step by step online. Simplify 1/(x^4-3x^3)+2x+30. Combine all terms into a single fraction with x^4-3x^3 as common denominator. Factor the polynomial x^4-3x^3 by it's greatest common factor (GCF): x^{3}. Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). Calculate the power \sqrt[3]{1}.
Simplify 1/(x^4-3x^3)+2x+30
Final answer to the exercise
$\frac{\left(1+\sqrt[3]{2x+30}\sqrt[3]{x^4-3x^3}\right)\left(1-\sqrt[3]{2x+30}\sqrt[3]{x^4-3x^3}+\sqrt[3]{\left(2x+30\right)^{2}}\sqrt[3]{\left(x^4-3x^3\right)^{2}}\right)}{x^{3}\left(x-3\right)}$