2. Verify that a =(b+c)+(a=b)+(a=c) for each of the following values of a, b and
(a) a = 12, b = -4, c= 2
(b) a=(-10), b = 1, c= 1
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Answer:
a÷(b÷c)
=(a÷b)÷(a÷c)
LHS=a÷(b+c)=
b+c
a
RHS=(a÷b)+(a÷c)=
b
a
+
c
a
=
bc
ac+ab
∴LHS
=RHS
a=−10,b=1 and c=1
LHS=a÷(b÷c)=(−10)÷(1÷1)
=−10÷1=
1
−10
=−10
RHS=(a÷b)+(a÷c)=
1
−10
+
1
−10
=(−10)+(−10)=−10−10=−20
∴LHS
=RHS
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