Question

Verify that a ÷ (b + c) # (a ÷ c) for each of the following values of a, b and c.

a) a = 12, b = -4, c = 2

b) a = (-10), b = 1, c = 1​

Answer 1

Answer:

a÷(b÷c)=(a÷b)÷(a÷c)

LHS=a÷(b+c)=b+ca

RHS=(a÷b)+(a÷c)=ba+ca=bcac+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