Question

Using 12, -4 and 6, prove distributivity of multiplication over addition as well as subtraction ​

Answer 1

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➡ Distributive property of multiplication over addition:

↪We know that

↪a×(b+c)=a×b+a×c

Now,

Consider that a=12, b= -4 and c=6

↪12×(-4+6)=12×(-4)+12×(6)

↪12×2= -48+72

↪24=24

RHS=LHS

➡Distributive property of multiplication over subtraction:

↪a×(b-c)=a×b-a×c

↪ Here, a=12, b= -4, c=6

➡12×(-4-6)=12×(-4)-12×(6)

➡12×(-10)= -48-72

➡ -120= -120

RHS=LHS

Hence verified.

Answer 2

Step-by-step explanation:

done everything ( Answer is-0.5