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basic algebra formula, Cheat Sheet of Mathematics

Mathematics

It contains all the formulas of mathematics which come in handy to the students time and time again and increases the intelligence of the students

Typology: Cheat Sheet

2022/2023

Available from 11/28/2023

rushindra-gaikwad
rushindra-gaikwad 🇮🇳

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Basic Algebra Formulas
BODMAS Formula
B = Bracket
D = Division
M = Multiplication
A = Additio
S = Subtraction
Basic Algebra Formulas
a2 – b2 = (a – b)(a + b)
2. (a + b)2 = a2 + 2ab + b2
3.a2 + b2 = (a + b)2 – 2ab
(a – b)2 = a2 – 2ab + b2
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca
(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
(a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)
a3 – b3 = (a – b)(a2 + ab + b2)
a3 + b3 = (a + b)(a2 – ab + b2)
(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4
a4 – b4 = (a – b)(a + b)(a2 + b2)
a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)
(a +b+ c)2=a2+b2+c2+2ab+2bc+2ca
pf2

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 Basic Algebra Formulas

BODMAS Formula   B = Bracket  D = Division  M = Multiplication  A = Additio  S = Subtraction  Basic Algebra Formulas   a2 – b2 = (a – b)(a + b)  2. (a + b)2 = a2 + 2ab + b  3.a2 + b2 = (a + b)2 – 2ab  (a – b)2 = a2 – 2ab + b  (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca  (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca  (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)  (a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)  a3 – b3 = (a – b)(a2 + ab + b2)  a3 + b3 = (a + b)(a2 – ab + b2)  (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b  (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b  a4 – b4 = (a – b)(a + b)(a2 + b2)  a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)  (a +b+ c)2=a2+b2+c2+2ab+2bc+2ca

 (a +b+ c+…)2=a2+b2+c2+⋯+2(ab +ac+ bc +⋯  (x+ y+ z)2=x2+y2+z2+2xy+2yz+2xz  (x +y−z)2=x2+y2+z2+2xy−2yz−2xz  (x− y+ z)2=x2+y2+z2−2xy−2yz+2xz  (x−y−z)2=x2+y2+z2−2xy+2yz−2xz   x3+y3+z3−3xyz=(x+ y+ z)(x2+y2+z2−xy−yz−xz)   x2+y2=1/2[(x+ y)2+(x−y)2]   (x +a)(x +b)(x +c)=x3+(a +b+ c)x2+(ab +bc+ ca)x+ abc   x3+y3=(x+ y)(x2−xy+y2)   x3−y3=(x−y)(x2+xy+y2)   x2+y2+z2−xy−yz−zx=1/2[(x−y)2+(y−z)2+(z−x)2]