বীজগণিতের সূত্র
Formula:
1. (a + b)2 = a2 + 2ab + b2
2. (a – b)2 = a2 – 2ab + b2
3. a2 – b2 = (a + b)(a – b)
4. (x + a)(x + b) = x2 + (a + b)x + ab
5. (a + b)3 = a3 + 3a2b + 3ab2 + b3
6. (a – b)3 = a3 – 3a2b + 3ab2 – b3
7. a3 + b3 = (a + b)(a2 – ab + b2)
8. a3 – b3 = (a – b)(a2 + ab + b2)
Conclusion:
1. a2 + b2 = (a + b)2 – 2ab
2. a2 + b2 =
(a – b) 2 + 2ab
3. (a + b) 2 = (a – b)
2 + 4ab
4. (a – b) 2 = (a + b)
2 – 4ab
5. 2(a2 + b2)
= (a + b) 2 – (a – b) 2
6. a 3 + b 3 =
(a + b) 3 – 3ab(a + b)
7. a 3 – b 3 =
(a – b) 3 + 3ab(a – b)
8. (a + b + c) 2 = a2 +
b2 + c2 + 2ab + 2bc + 2ca
9. a2 + b2 +
c2 = (a + b + c) 2 – 2(ab + bc + ca)
-end-
04.04.2022
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