Laws of Alzebra- বীজগাণিতিক সূত্র

Laws of Alzebra - বীজগণিতের প্রয়োজনীয় সূত্র


বীজগণিতের বর্গের সূত্রাবলী:
⍚ (a+b)2 = a2+2ab+b2
⍚ (a−b)2 = a2−2ab+b2
⍚ (a+b)2 = (a−b)2+4ab
⍚ (a−b)2 = (a+b)2−4ab
                                                                                    ⍚ ab = (a+b)2−(a−b)2
                                                                                                   2            2
                                                                                       
🚀 4ab = (a+b)2−(a−b)2
🚀 a2+b2 = (a+b)2+(a−b)2
                          2
🚀 a2+b2 = (a−b)2+2ab


বীজগণিতের ঘনের সূত্রাবলী:
🚈  (a+b)3 = a3+3a2b+3ab+b3
                   = a3+b3+3ab(a+b)
🚈  a3+b3 = (a+b)3−3ab(a+b)
🚈  (a−b)3 = a3−3a2b+3ab−b3
                   = a3−b3−3ab(a−b)
🚈  a3−b3 = (a−b)3+3ab(a−b)
🚈  a3+b3 = (a+b)(a2−ab+b2)
🚈  a3−b3 = (a−b)(a2+ab+b2)



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