# Binomial Theorem Expansion Calculator API

> For the complete documentation index, see [llms.txt](/llms.txt).

Expand (a + b)^n for n up to 50 with every coefficient and term listed.

Use this endpoint to add the tool to your app, site, workflow, or agent without rebuilding formulas, validation, examples, and docs.

- Slug: `binomial-theorem-expansion-calculator`
- Category: `math`
- Version: `2026-04-22`
- Credits per successful call: 1
- Starts on: free
- Max payload: 65536 bytes
- Privacy mode: `hash_only`
- Available on: free, starter, pro, business, scale
- Browser tool: https://miniwebtool.com/binomial-theorem-expansion-calculator/

## Endpoint

`POST https://api.miniwebtool.com/v1/tools/binomial-theorem-expansion-calculator/run`

## Request body

| Field | Type | Required | Description |
| --- | --- | --- | --- |
| `a_term` | `str` | yes | First term, e.g. 2x |
| `b_term` | `str` | yes | Second term, e.g. 3 or -y |
| `n` | `int` | yes |  |

## Example request

```json
{
  "a_term": "2x",
  "b_term": "3",
  "n": 4
}
```

## cURL

```bash
curl -X POST https://api.miniwebtool.com/v1/tools/binomial-theorem-expansion-calculator/run \
  -H 'Authorization: Bearer mwt_live_YOUR_KEY' \
  -H 'Content-Type: application/json' \
  -d '{"a_term":"2x","b_term":"3","n":4}'
```

## Response envelope

```json
{
  "request_id": "01K...",
  "tool": "binomial-theorem-expansion-calculator",
  "tool_version": "2026-04-22",
  "credits_used": 1,
  "result": {}
}
```

## Errors

Errors are RFC 7807 `application/problem+json`. Branch on `code`, not `title`.

## MCP

Agents can discover and call this tool through `https://api.miniwebtool.com/mcp` or `https://api.miniwebtool.com/v1/mcp` using MCP `tools/list` and `tools/call`.

## Frequently asked

### What does the Binomial Theorem Expansion Calculator API do?

Expand (a + b)^n for n up to 50 with every coefficient and term listed. Use it to add this utility without rebuilding formulas, validation, examples, and documentation.

### How much does one call cost?

1 credit per successful call. Failed calls do not bill.

### What parameters are required?

Required fields: a_term, b_term, n. Full schema at `https://api.miniwebtool.com/v1/openapi.json`.

### Is this deterministic?

Yes. Same input, same output. Tool version: 2026-04-22.