formula's of mathematics
Formula's book
Written by Ankit sir
4th September, 2022
Some basis formula
(a+b)²= a²+b²+2ab
(a-b)²= a+b2-2ab
a²-b2 = (a+b) (a - b)
a²+b²= (a-b)²+2ab a3+b3
a²+b²= (a+b)2-2ab
a³-b3= (a - b)(a²+ab+b²) = (a - b)3 + 3ab(a - b)
2(a²+b²)=(a+b)² + (a - b)²
(a+b)2- (a - b)² = 4ab
(a - b)²= (a+b)2-4ab
(a+b)² = (a−b)²+4ab
a+b= [(a+b)2-2ab]2-2(ab)2
(a-b-c)²= a+b²+ c²-2ab+2bc-2ca
a3+b3+c³-3abc = (a+b+c)(a²+b²+c²-ab-bc-ca)
a*+ a²b²+b* = (a²+ab+b²)(a²-ab+b²
a²+a²+1=(a²+a+1)(a²-a+1) if a+b+c=0 then a3+b3+c3 = 3abc a-b8 = (a+b)(a+b²)(a+b) (a - b).
square formula
(a + b)²=a2+ b² + 2ab
(a - b)²=a2+ b² - 2ab
(a - b) (a + b) = a² - b²
(x+a) (x + b) = x²+(a + b) x + ab
(a+b+c)²=a2+ b² + c²+2ab+ 2bc + 2ca
(a-b-c)2=a2+ b² + c² - 2ab + 2bc - 2ca
Cube formula
(a + b)3 = a³ + b3 + 3ab(a + b)
(a - b)-a-b3-3ab(a - b)
a3-b3 (a-b) (a2+ b²+ ab)
a3+b3= (a + b) (a2+ b² - ab)
(a+b+c)3 = a³ + b³ + c³ + 3(a + b)(b + c)(c + a)
@x²+y³+23-3xyz = (x + y + z) (x² + y²+z2-xy-yz-zx)
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