*Algebra formula* *(a+b)² =* a²+2ab+b² *(a-b)² =* a²-2ab+b² *(a-b)² =* (a+b)²-4ab *(a+b)² + (a-b)² =* 2(a²+b²) *(a+b)² – (a-b)² =* 4ab(a+b)³ = a³+3a²b+3ab²+b³ *(a+b)² – (a-b)² =* a³+b³+3ab(a+b) *(a-b)³ =* a³-3a²b+3ab²-b³ *(a-b)³ =* a³+b³+3ab(a+b) *(a+b)³ + (a-b)³ =* 2(a³+3ab²) *(a+b)³ + (a-b)³ =* 2a(a²+3b²) *(a+b)³ – (a-b)³ =* 3a²b+2b³ *(a+b)³ – (a-b)³ =* 2b(3a²+b²) *a²-b² =* (a-b)(a+b) *a³+b³ =* (a+b)(a²-ab+b²) *a³-b³ =* (a-b)(a²+ab+b²) *a³-b³ =* (a-b)³ + 3ab(a-b) *(a+b+c)² =* a²+b²+c²+2(ab+bc+ca) *(a+b+c)³ =* a³+b³+c³+3(a+b)(b+c)(c+a) *a³+b³+c³ =* (a+b+c)³ – 3(a+b)(b+c)(c+a) *(a+b+c+d)² =* a²+b²+c²+d²+2(ab+ac+ad+bc+bd+cd) *a³+b³+c³-3abc =* *(a+b+c)(a²+b²+c²-ab-bc-ca)*