Question

distuputive properrty is​

Answer 1

${\huge{\bf{\red{\underline{Question:}}}}}$

$\star \: {\sf{\green{ distributive \: property}}}$

• Let *and⊙ be two binary operations on set A .Then we say that operation * is distributive with ⊙ if

$\star \: { \boxed{\green{ \sf{ x*(y \odot \:z)=(x*y)\odot\:(x*z) \: \forall \:x,y,z\in\:A }}}}$

$\star \: { \boxed{\green{ \sf{ (y \odot\:z)*x=(y*x)\odot\:(z*x) \: \forall\: x,y,z\in\:A }}}}$

${\bf{\blue{\underline{Example}}}}$

• In the set of natural multiplication composition is distributive over addition composition since.

$\star \: {\orange{ \sf{ x.(y + z) = x.y + x.z \: \forall \: x \: y \: z \in \: n}}}$