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Answer 1

Answer:

Your answer is as follows

I) a+(b+c)=(a+b)+c

.-25+(20+(-10))=(-25+20)+(-10)

. -25+(20-10)=(-5)-10

-25+10=-5-10

-15=-15

it is proved

ii) a×(b+c)=a×b+a×c

. -25×(20-10)=-25×20+-25×-10

. -25×10= -500+ 250

-250 =-250

it is proved

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Answer 2

Given :-

a = -25

b = 20

c = 10

To Find :-

(i) a + (b + c) = (a + b) + c

(ii) a × (b + c) = a × b + a × c

Solution :-

(i) a + (b + c) = (a + b) + c

Taking LHS

a + (b + c)

-25 + [20 + (-10)]

-25 + [20 - 10]

-25 + 10

-15

Taking RHS

(a + b) + c

[(-25) + 20] + (-10)

[-25 + 20] - 10

-5 - 10

-15

Hence, Proved

(ii)  a × (b + c) = a × b + a × c

Taking LHS

-25 × [20 + (-10)]

-25 × [20 - 10]

-25 × 10

-250

Taking RHS

[(-25) × 20] + [(-25) × (-10)]

-500 + (250)

-500 + 250

-250

Hence, Proved