Examples for Step-by-Step Solutions

See how to perform basic arithmetic:

Check your work using step-by-step arithmetic:

Follow the steps to convert an improper fraction to a mixed number:

Solve equations one step at a time:

Factor polynomials step by step:

Expand polynomials using FOIL, the binomial theorem and other methods:

Learn to rewrite a rational function using our step-by-step partial fraction decomposition:

Compute properties of geometric objects step by step:

Learn details of some geometric computations:

Determine the equation of a line with certain properties using a selected form:

Perform basic statistical analysis on a set of data, seeing the steps along the way:

Find the derivative using the product rule, chain rule and other methods:

Calculate an integral by substitution, integration by parts and other methods:

Learn how to take a limit:

Find local and global extrema using a variety of tests:

See how ordinary differential equations are solved:

Find step-by-step solutions for prime factorization, primality testing, GCD and more:

Follow the steps to convert between bases:

Compute properties of a matrix step by step:

Find the determinant step by step with various methods:

Compute eigenvalues and eigenvectors step by step:

Compute a cross product step by step:

See the steps toward proving a trigonometric identity:

Prove a sum identity by induction:

Prove divisibility by induction:

Prove an inequality by induction:

Get a step-by-step procedure to draw the Lewis structures of molecules:

Follow the steps for unit conversion:

Learn how to balance a chemical reaction:

Compute oxidation states of chemicals: