Knowledge card
Derivation Demo (distributive factoring)
In words:times(plus).
Open full derivation chain: 2 stepsDerivation
- 1
Open Step 1: Given / definition · Start — a common factor a appears in both product terms.
Start — a common factor a appears in both product terms.Given / definition Defining ruleThe starting relation of a derivation — the definition or established equation every later step transforms; it justifies no change itself. - ★
Open Step 2: Distributive law · Factor out a by the distributive law — the same value, re-expressed.
Factor out a by the distributive law — the same value, re-expressed.Distributive law Defining rulea(b + c) = ab + acMultiplication distributes over addition — the rule that expands a product into a sum or collects a sum into a product.
Equation Workspace
Set known values, calculate unknowns, inspect dependencies, and run numerical solves.
Calculator
Equation Workspace
Set known values, calculate unknowns, inspect dependencies, and run numerical solves.
Equation workspace
Set the values you know, then calculate the remaining quantities in Derivation Demo (distributive factoring).
Domain Analysis
Unit status, dimensional trails, per-step checks, and custom unit expressions.
Domain Analysis
Unit status, dimensional trails, per-step checks, and custom unit expressions.
Step-by-step unit check (2 steps)
Step 1 given
Expand checked this step.Step 2 distributive
Expand checked this step.
Try your own — the unit calculator
Ever wondered whether a formula “adds up”? This tool answers one plain question: do the units match? Pick a couple of quantities (distance, time, a speed…), join them with ×, ÷, +, or =, and press Run. It works out the resulting unit — for example distance ÷ time gives a speed, LT⁻¹ (metres per second) — and flags anything that can’t be right, like adding a length to a time.
Reads as: Derivation Demo (distributive factoring)
“Derivation Demo (distributive factoring)” is analysed by expanding its full defining equation (its children and their relations), not as a bare symbol. Use Check this concept’s units above for the same result.
Mathematical Analysis
Object type, lawful operations, conditions, comparisons, and derivation-step checks.
Mathematical Analysis
Object type, lawful operations, conditions, comparisons, and derivation-step checks.
Check one step at a time (2 steps)
Step 1 — given
Step 2 — distributive
Dimension I
Definition
What it is — and what it is not
Dimension II
In practice
How to deal with it
No practical guidance recorded yet.