Question

verify the property (a×b)×c=a×(b×c). a=2, b=3, c=4. and second is a=5, b= -8, c = -7. kindly show the calculation

Answer 1

Hi ,

1 ) If a = 2 , b = 3 , c = 4

( a × b ) × c = ( 2 × 3 ) × 4

= 6 × 4

= 24 ----( 1 )

a × ( b × c ) = 2 × ( 3 × 4 )

= 2 × 12

= 24 ---( 2 )

( 1 ) = ( 2 )

( a × b ) × c = a × ( b × c )

2 ) if a = 5 , b = - 8 , c = - 7

( a × b ) × c = [ 5 × ( - 8 ) ] × ( - 7 )

= ( - 40 ) × ( - 7 )

= 280 -----( 3 )

a ×( b × c ) = 5 × [ ( - 8 ) × ( - 7 ) ]

= 5 × 56

= 280 ---( 4 )

( 3 ) = ( 4 )

a × ( b × c ) = ( a × b ) × c

[ Associative proporty ]

I hope this helps you.

: )