Mathematical Formulae
(a + b)^{2} = a^{2} + b^{2} + 2ab
(a - b)^{2} = a^{2} + b^{2} - 2ab
(a + b)^{2} + (a - b)^{2} = 2(a^{2} + b^{2})
(a + b)^{2} - (a - b)^{2} = 4ab
a^{2} - b^{2} = (a + b) (a - b)
(a + b)^{3} = a^{3} + b^{3} + 3ab (a + b)
(a - b)^{3} = a^{3} - b^{3} - 3ab (a - b)
a^{3} + b^{3} = (a + b) (a^{2} - ab + b^{2})
a^{3} - b^{3} = (a - b) (a^{2} + ab + b^{2})
log_{a}x = y →a^{y} = x
log_{a}x^{p} = p log_{a}x
log_{a}xy = log_{a }x + log_{a}y