Sub-Sūtra 8 of 13

Lopanasthāpanābhyām

By alternate elimination and retention

Factorising expressions in two variables (HCF of polynomials).

When to use

Polynomial factorisation, finding HCF.

How it works

Treat each variable as zero in turn to extract factors.

Memory formula

Eliminate what distracts, solve the simpler structure, then restore it.

Worked examples

Problem 1

Factor x² + xy − 2y² + 2x + 5y − 3

0/3

Get a personal walkthrough of Lopanasthāpanābhyām with examples tuned to your question.