Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given: $\frac{a}{(b + c)}$ ≠ $\frac{a}{b}$ + $\frac{a}{c}$

Then,

$\frac{a}{(b + c)}$ ≠ $\frac{(ac + ab)}{bc}$

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

$\frac{21}{(4 + (-2))}$ ≠ $\frac{(21*-2 + 21*4)}{4*-2}$

$\frac{21}{4 - 2}$ ≠ $\frac{(-42 + 84)}{-8}$

$\frac{21}{2}$ ≠ $\frac{42}{-8}$

$\frac{21}{2}$ ≠ $-\frac{21}{4}$

Therefore the condition of the given equation is satisfied.

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

$\frac{1}{(10 + 1)}$ ≠ $\frac{(1*1 + 1*10)}{10*1}$

$\frac{1}{11}$ ≠ $\frac{(1 + 10)}{10}$

$\frac{1}{11}$ ≠ $\frac{11}{10}$

Therefore the condition of the given equation is satisfied.