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

• $(a+b{)}^2=(a+b)(a+b)=a^2+2ab+b^2$

• $(a-b{)}^2=(a-b)(a-b)=a^2-2ab+b^2$

• $(a+b)(a-b)=a^2-b^2$

• $(a+b{)}^3=a^3+3a^{2}b+3a{b}^2+b^3$

• $(a-b{)}^3=a^3-3a^{2}b+3a{b}^2-b^3$

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