maths 10 th class all formula
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(a + b)² = a² + 2ab + b²=(-a-b)²
(a - b)2=a² - 2ab + b²
(a-b) (a+b)=a²-b²
(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
(a+b+c)² = a² + b²+c²-2ab +2bc-2ca
(a-b-c)² = a² + b² + c² - 2ab + 2bc-2ca
(a+b)³=a³ + b³ + 3ab (a + b)
(a−b)³=a³-b³-3ab (a - b)
a³ + b³ = (a + b)³ - 3ab(a + b)
= (a + b) (a²- ab + b²)
a³-b³= (a - b)³ + 3ab(a - b)
= (a - b) (a² + ab + b²)
a³ + b³ + c³-3abc = (a + b + c) (a² + b² + c²-ab-bc-ca)
if a+b+c=0 then a³ + b³ + c3 = 3abc
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