Math formulas and cheat sheets for Factoring and product formulas

Factoring and product formulas

Factoring Formulas

a2b2=(ab)(a+b)
a3b3=(ab)(a2+ab+b2)
a3+b3=(a+b)(a2ab+b2)
a4b4=(ab)(a+b)(a2+b2)
a5b5=(ab)(a4+a3b+a2b2+ab3+b4)

Product Formulas

(a+b)2=a2+2ab+b2
(ab)2=a22ab+b2
(a+b)3=a3+3a2b+3ab2+b3
(ab)3=a33a2b+3ab2b3
(a+b)4=a4+4a3b+6a2b2+4ab3+b4
(ab)4=a44a3b+6a2b24ab3+b4
(a+b+c)2=a2+b2+c2+2ab+2ac+2bc
(a+b+c+...)2=a2+b2+c2+...+2(ab+ac+bc+...)