Algebraic formulas
(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(x – a)(x + b) = x2 + (b – a)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 + 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 – 2xzx3 + 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 + abcx3 + 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]Trigonometry Table: