History of Mathematics Cardanos Cubic Formula and Newtons T…

I am working on a History of Mathematics exam that covers topics such as Cardanos method for solving cubic equations, Fermats area method, Newtons theorems, Bernoullis series, and Eulers work. I need detailed, step-by-step solutions with clear explanations for each question.

Please provide the solutions in a clear handwritten format (or neatly written steps), as if solving on paper, so it is easy to follow and submit. Accuracy and explanation of reasoning are very important.