Merkwoardig product

Met e merkwoardig product wordn in algebra produuctn angeduud woa daj toch ne kêe extra na moe kykn. Ge keun ze makkelik erkenn mee dan ze vree symmetrisch utgeweirk werdn.

Formules

• $(a+b)^{2}=(a+b)(a+b)=a^{2}+2ab+b^{2}\,$

• $(a-b)^{2}=(a-b)(a-b)=a^{2}-2ab+b^{2}\,$

• $(a+b)(a-b)=a^{2}-b^{2}\,$

• $(a+b)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3}\,$

• $(a-b)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3}\,$

• $(a+b+c)^{2}=a^{2}+b^{2}+c^{2}+2ab+2ac+2bc\,$