Exercise
$x^{10}-n^{10}-x-n$
Step-by-step Solution
Learn how to solve special products problems step by step online. Factor the expression x^10-n^10-x-n. Simplify \sqrt{x^{10}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 10 and n equals \frac{1}{2}. Any expression multiplied by 1 is equal to itself. Simplify \sqrt{n^{10}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 10 and n equals \frac{1}{2}. Any expression multiplied by 1 is equal to itself.
Factor the expression x^10-n^10-x-n
Final answer to the exercise
$\left(\sqrt[3]{x^{5}+n^{5}}\sqrt[3]{x^{5}-n^{5}}+\sqrt[3]{x+n}\right)\left(\sqrt[3]{\left(x^{5}+n^{5}\right)^{2}}\sqrt[3]{\left(x^{5}-n^{5}\right)^{2}}-\sqrt[3]{x^{5}+n^{5}}\sqrt[3]{x^{5}-n^{5}}\sqrt[3]{x+n}+\sqrt[3]{\left(x+n\right)^{2}}\right)$