Verify that a÷(b+c)≠ (a÷b)+(a÷c) for each of the following values of a,b,c ?
1) a=(-10),b=1,c=1
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Step-by-step explanation:
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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