Simplify the following expressions: (a)Atimes (Atimes B) (b)Atimes [Atimes (Atimes B)]

Filipinacws

Filipinacws

Answered question

2022-08-07

Simplify the following expressions:
( a ) A × ( A × B )
( b ) A × [ A × ( A × B ) ]

Answer & Explanation

Howard Robertson

Howard Robertson

Beginner2022-08-08Added 6 answers

a ) A × ( A × B ) = ( A B ) A ( A A ) B
{Since a × ( b × c ) = ( a . c ) b ( a . b ) c}
b ) A × ( A × ( A × B ) ) = ( A ( a × B ) ) A ( A A ) ( A × B )
= ( 0 ) A ( A A ) ( A × B ) A × B   i s t o A
= ( A A ) ( A × B ) ,   i s   p a r a l l e l   t o   A × B

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