Question

What is 2x³/x+5 divided by x-5/3x-1

Answer 1

`\cfrac{2x^3}{x+5}/ \cfrac{x-5}{3x-1}\implies \underset{\textit{difference of squares}}{\cfrac{2x^3}{x+5}\cdot \cfrac{3x-1}{x-5}}\implies \cfrac{6x^4-2x^3}{x^2 - 5^2}\implies \cfrac{6x^4-2x^3}{x^2 - 25}`