বীজগণিতের ঘন সূত্র | ঘন সূত্র ও অনুসিদ্ধান্ত

বীজগণিতের ঘন সূত্র ও অনুসিদ্ধান্ত :

• (a + b)³= a³ + 3a2b + 3ab2 + b³

• (a + b) ³= a³ + b³ + 3ab (a + b)

• (a – b) ³= a³ – 3a2b + 3ab2 – b3

• (a – b) ³= a³ – b³ – 3ab (a – b)

• a³ + b³ = (a + b) (a2 – ab + b2)

• a³ + b³ = (a + b) ³– 3ab (a + b)

• a³ – b³ = (a – b) (a2 + ab + b2)

• a³ – b³ = (a – b) ³+ 3ab (a – b)

 • (a + b + c) ³= a³ + b³ + c³ + 3 (a + b) (b + c) (c + a)

• a³ + b³+ c³ – 3abc = (a + b + c) (a2 + b2 + c2– ab – bc – ca)

 • a3 + b3 + c3 – 3abc =  (a + b + c) { (a – b)2 + (b – c) 2+ (c – a) 2}

Author: drmasud

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