Math- All Formulae

(x+y)²

= x² + 2xy + y²

(x-y)²

= x² - 2xy + y²

(x+y) (x-y)

= x² - y²

(x+a) (x+b)

= x² + (a+b) x + ab

(x+y+z)²

= x² + y² + z² + 2xy + 2yz + 2zx

(x+y)³

= x³ + y³ + 3xy (x+y)

(x-y)³

= x³ - 3x²y + 3xy² - y³

x³ + y³ + z³ - 3xyz

= (x + y + z) (x² + y² + z² - xy - yz - zx)

(x+y+z)³

= x³+y³+z³+3(x+y)(y+z)(z+x)

Heron’s Formula

√[s (s - a) (s - b) (s - c)]

a^m x aⁿ

= a^m+n

a^m/aⁿ

a^m-n

(a^m)ⁿ

a^mn

a^m x b^m

(ab)^m

a^-n

1/aⁿ

a⁰

1