Question

–21) × [(– 4) + (– 6)] = [(–21) × (– 4)] + [(–21) × (– 6)]
LHS and RHS step by step answer

Answer 1

Step-by-step explanation:

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)}a×(b+c)=(a×b)+(a×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