Question

(-21)×[(-6)+(-4)]=(-21)×(-6)+(-21)×(-4)​

Answer 1

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SOLUTION

TO VERIFY

(-21)×[(-4)+(-6)]=[(-21)×(-4)]+[(-21)×(-6)]

EVALUATION

We have to verify

( -21 ) × [ ( -4 ) + ( - 6 ) ]

= [ ( -21 ) × ( -4 ) ] + [ ( -21 ) × ( - 6 ) ]

LHS

= ( -21 ) × [ ( -4 ) + ( - 6 ) ]

= ( - 21 ) × ( - 10 )

= 210

RHS

[ ( -21 ) × ( -4 ) ] + [ ( -21 ) × ( - 6 ) ]

= 84 + 126

= 210=210

∴ LHS = RHS

Hence verified

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Additional Information :

The above mentioned property is called

DISTRIBUTIVE PROPERTY

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Answer 2

(-21)×[(-4)+(-6)]=[(-21)×(-4)]+[(-21)×(-6)

We have to verify

LHS

( -21 ) × [ ( -4 ) + ( - 6 ) ]

= [ ( -21 ) × ( -4 ) ] + [ ( -21 ) × ( - 6 ) ]

= ( -21 ) × [ ( -4 ) + ( - 6 ) ]

= ( - 21 ) × ( - 10 )

= 210

RHS

[ ( -21 ) × ( -4 ) ] + [ ( -21 ) × ( - 6 ) ]

= 84 + 126

= 210=210

∴ LHS = RHS

Hence verified