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## Maths Formulas List

The basic Math formulas include arithmetic operations, where we learn to add, subtract, multiply, and divide. Also, algebraic identities help to solve equations. The important formulas are related to algebra, Pythagoras theorem, series and sequence, mensuration, calculus, probability and statistics, trigonometry, matrices, etc.

- (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
- (x + a)(x – b) = x2 + (a – b)x – ab
- (a + b)3 = a3 + b3 + 3ab(a + b)
- (a – b)3 = a3 – b3 – 3ab(a – b)
- (x – a)(x + b) = x2 + (b – a)x – ab
- (x – a)(x – b) = x2 – (a + b)x + ab
- (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 =½ [(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 = ½ [(x-y)2 + (y-z)2 + (z-x)2]
- sin (90
**°**– θ) = cos θ - cos (90
**°**– θ) = sin θ - tan (90
**°**– θ) = cot θ - cot (90
**°**– θ) = tan θ - sec (90
**°**– θ) = cosecθ - cosec (90
**°**– θ) = secθ - sin
^{2}θ + cos^{2}θ = 1 - sec
^{2 }θ = 1 + tan^{2}θ for 0**°**≤ θ < 90**°** - Cosec
^{2 }θ = 1 + cot^{2}θ for 0**°**≤ θ ≤ 90**°**

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