व्यष्टिसमष्टि — Vyashtisamasthi
Part and whole. Factor a quadratic by finding two numbers whose sum is the middle coefficient and product is the last — the Vedic way to factor trinomials.
Why it works: x²+(a+b)x+ab = (x+a)(x+b). The sutra recognizes that the 'individual' factors (vyashti) combine into the 'whole' (samasthi) through their sum and product.
Speed advantage: Structured search replaces random trial-and-error.
Best for
- Factoring quadratic and higher-degree polynomials
▶ See the animated lesson, practice drills & proof on SutraFlow →
Originally published at https://www.sutraflow.app/sutras/vyashtisamasthi
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