Proof Archive

Adding exponents

This proofs shows that you can add exponents when multiplying powers with the same base.

Change of base formula for logarithms

This proofs shows that every logarithm can be written as a division of two logarithms with a custom base.

The cube root of a complex number

The difference of logarithms

This proof shows that the difference of two logarithms with the same base is just one logarithm with the inside parts being divided.

Factoring the difference of two cubes

This proof shows how to factor a difference of two cubes.

Factoring the difference of two squares

This proof shows how to factor a difference of two squares.

Factoring the sum of two cubes

This proof shows how to factor a sum of two cubes.

The keep-change-flip rule for fractions

This proof shows the famous keep-change-flip rule when dividing by fractions.

The logarithm power rule

This proofs shows that a logarithm of a power is the same as the exponent multiplied by that logarithm.

Multiplying exponents

This proofs shows that the exponents can be multiplied when a power is raised to another power.

Quadratic formula

This proof shows how the famous quadratic formula works.

Angle sum/difference formula for sine and cosine

This proof shows the formula for adding and subtracting angles for sine and cosine.

The sum of logarithms

This proof shows that the sum of two logarithms with the same base is just one logarithm with the inside parts being multiplied.