Question

Verify a÷(b+c)not equal(a÷b)+a÷c for each of the following values of a, b and c

a) a=21 b=4 c= -2
b) a=1 b=10 c=1
step by step solution needed...
plz help
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Answer 1

a) and b) satisfied the condition of the given equation.

Explanation:

Given:
`(a)/((b + c))` ≠
`(a)/(b)` +
`(a)/(c)`

Then,

`(a)/((b + c))` ≠
`((ac + ab))/(bc)`

a) For a = 21, b = 4 and c = -2, then we have;

`(21)/((4 + (-2)))` ≠
`((21*-2 + 21*4))/(4*-2)`

`(21)/(4 - 2)` ≠
`((-42 + 84))/(-8)`

`(21)/(2)` ≠
`(42)/(-8)`

`(21)/(2)` ≠
`-(21)/(4)`

Therefore the condition of the given equation is satisfied.

b) For a = 1, b = 10 and c = 1, then we have:

`(1)/((10 + 1))` ≠
`((1*1 + 1*10))/(10*1)`

`(1)/(11)` ≠
`((1 + 10))/(10)`

`(1)/(11)` ≠
`(11)/(10)`

Therefore the condition of the given equation is satisfied.