Investigating Quadratic Factors

Using only multiplication and addition we should be able, eventually, to find a link between the numbers in the original "expressions" (how do we know they are not "formulae" or "equations"?) and the factorised double brackets. Can we work out why this is called "factorising"? This investigation, and discovery, of how to factorise quadratics usually takes an hour. Remember, the use of algebra to define geometries is...

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