বীজগণিতীয় সূত্র ও অনুসিদ্ধান্ত।(Math)
বীজগণিতীয় সূত্র ও অনুসিদ্ধান্ত
সূত্রঃ
Ø (a+b)2 = a2+2ab+b2/(a+b)(a+b)
Ø (a-b)2 = a2-2ab+b2/(a-b)(a-b)
Ø a2-b2 =
(a+b)(a-b)
Ø a2+b2 =
(a+b)2+(a-b)2/
Ø ab =
/
Ø (a+b+c)2 = a2+b2+c2+2ab+2bc+2ca/
a2+b2+c2+2ab+2abc+2ca
Ø (x+a)(x+b) = x2+(a+b)x+ab
Ø (a+b)3 = a3-3a2b+3ab2+b3/a3+b3+3ab(a+b)/a2+3a2b+3ab2+b3
Ø (a-b)3 = a3-3a2b+3ab2-b3/a3-b3+3ab(a-b)
Ø a3+b3 = (a+b)(a2-ab+b2)
Ø a3-b3 = (a-b)(a2+ab+b2)
Ø (x+a)(a+b) = x2+(a+b)x+ab
Ø (x+a)(x+b)(x+c) = x3+(a+b+c)x2+(bc+ca+ab)x+abc
Ø a3+b3+c3-3abc
= (a+b+c)(a2+b2+c2-ab-bc-ca)
অনুসিদ্ধান্তঃ
Ø (a+b)2 = (a-b)2+4ab
Ø (a-b)2 = (a+b)2-4ab
Ø a2+b2 = (a+b)2-2ab/(a-b)2+2ab
Ø 2(a2+b2) =
(a+b)2+(a-b)2
Ø 4ab = (a+b)2-(a-b)2
Ø a0 = 1, a
0
No comments