कुछ मुख्य बीजगणितीय सूत्र –

1. (a+b)²  =  a²+b²+2ab
2. a²-b² =  (a-b)(a+b)
3. a²+b² = (a+b)²-2ab
4. (a-b)² = a²+b²-2ab
5. (a+b+c)² = a²+b²+c²+2ab+2bc+2ca
6. (a-b-c)² = a²+b²+c²-2ab+2bc-2ca
7. (a+b)³ = a³+b³+3a²b+3ab²=a³+b³+3ab(a+b)
8. (a-b)³ = a³-b³-3a²b+3ab²
9. a³-b³ = (a-b)(a²+ab+b²)
10. a³+b³ = (a+b)(a²-ab+b²)
11. (a+b)⁴ = a⁴+4a³b+6a²b²+4ab³+b⁴
12. (a-b)⁴ = a⁴-4a³b+6a²b²-4ab³+b⁴
13. a⁴-b⁴ = (a-b)(a+b)(a²+b²)

 

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