Question

verify the property a x(bxc) =(axb) x c by taking. [a] a= -12/5, b= -15/4 c=7/6​

Answer 1

Answer:

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Answer 2

$\huge\green{Answer}:—$

It is given that ,

a = 3/4 , b = -1/2 , c = -7/5

LHS = a × ( b × c )

= 3/4 × [ ( -1/2 ) × ( - 7/5 ) ]

= 3/4 × ( 7/10 )

= ( 3 × 7 )/ ( 4 × 10 )

= 21/40 ----( 1 )

RHS = ( a × b ) × c

= [ 3/4 × ( - 1/2 ) ] × ( - 7/5 )

= [ - 3/8 ] × ( - 7/5 )

= ( 3 × 7 ) / ( 8 × 5 )

= 21/40 -----( 2 )

From ( 1 ) and ( 2 ) ,

LHS = RHS

a × ( b × c ) = ( a × b ) × c

[ Associative proporty under

multiplication ]

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