Algebra Formulas - TNPSC-RRB-SSC

Algebra - இயற்கணிதம்



Formulae involving  square
வர்க்கங்களைக் கொண்ட சூத்திரங்கள்
(a + b)² = a² + 2 ab + b²
(a - b)² = a² - 2 ab + b²
a² - b² = (a + b) (a - b)
a² + b² = (a + b)² - 2ab
a² + b² = (a - b)² + 2ab
a² + b² = ½ [(a + b)² - (a - b)²]
ab = ¼ [(a + b)² - (a - b)²]
(a - b)² = (a + b)² - 4 ab
(a + b)² = (a - b)² + 4 ab
(a+b+c)² =a²+b²+c²+2ab+2bc+2ca
(a-b+c)² =a²+b²+c²-2ab-2bc+2ca
(a-b-c)² =a²+b²+c²-2ab+2bc-2ca
Formulae involving cube
கனங்ளைக் கொண்ட சூத்திரங்கள்
(a + b)³ = a³ + 3 a² b  + 3 a b² + b³
(a - b)³ = a³ - 3 a² b  + 3 a b² - b³
a³ + b³ = (a + b)³ - 3 ab (a + b)
a³ - b³ = (a - b)³ + 3 ab (a - b)
a³ + b³ = (a + b) (a² - ab + b²)
a³ - b³ = (a - b) (a² + ab + b²)
Other Formulae  
பிற சூத்திரங்கள்
(x + a) (x + b) = x² + (a + b) x + ab
(x + a) (x + b) (x + c) = x³+(a+b+c) x²+(ab+bc+ca) x+abc
a² + b² + c² - a b - b c - c a = ½[(a-b)²+(b-c)²+(c-a)²]
(a+b+c) (a² + b² + c² - a b-b c-c a) = a³ + b³ + c³ - 3 a b c
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