Sub-Sūtra 10 of 13

Guṇitasamuccayaḥ Samuccayaguṇitaḥ

The product of the sum equals the sum of the product

Verification rule (cross-check with Sutra 15).

When to use

Checking polynomial work.

How it works

Both sides should give equal sums of coefficients.

Memory formula

For products, the sum check works in both directions.

Worked examples

Problem 1

Verify (2x+3)(x+1) = 2x² + 5x + 3

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