Question

Verify:(-21)*[(4)+(-6)]=[(-21)*(-4)]+[-21)*(-6)]

Answer 1

Answer:It is not the true statement or equation .......

Step-by-step explanation:

Answer 2

SOLUTION

TO VERIFY

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

CONCEPT TO BE IMPLEMENTED

Distributive PROPERTY

For there real numbers a , b , c

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

EVALUATION

We have to verify

( -21 ) × [ ( -4 ) + ( - 6 ) ]

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

LHS

= ( -21 ) × [ ( -4 ) + ( - 6 ) ]

= ( - 21 ) × ( - 10 ) [ Distributive Property]

= 210

RHS

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

= 84 + 126

= 210=210

∴ LHS = RHS

Hence verified

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