Formula Steps
1. To derive or understand a formula, first clearly state what you want to find or solve for.
2. Identify the known variables and constants relevant to the situation.
3. Use definitions, relationships, or laws (like algebraic identities, physics laws, geometry formulas) related to the problem.
4. Combine these relationships step-by-step using algebraic manipulation: addition, subtraction, multiplication, division, factoring, etc., to isolate the desired variable.
5. Simplify the equation thoroughly at each step to make the formula clear and direct.
6. Verify the final formula by plugging in known values or checking its consistency with special cases.
In summary, the general method to form a step-by-step formula is:
1. Identify what to find.
2. List knowns and relevant laws.
3. Manipulate equations stepwise to isolate the unknown.
4. Simplify and verify at the end.