Question

Verify that p÷(q +r)= (p ÷ q)+( p ÷ r) for the following values of p ,q and r.
p=12,q= –2,r= 4

Answer 1

Step-by-step explanation:

p÷(q +r) = (p ÷ q)+( p ÷ r)

12÷(-2+4) = (12÷ -2)+(12÷4)

12/2 = 12/-2 + 12/4

6 = -6 + 3

6 = 3

6 ≠ 3

therefore,

p÷(q +r) ≠ (p ÷ q)+( p ÷ r)

Answer 2

Step-by-step explanation:

$\frac{p}{q+r}$=$\frac{p}{q} +\frac{p}{r}$

p/(q+r)=p[(1/q)+(1/r)]

1/(q+r)=(q+r)/qr

1/2=2/8

$\frac{1}{2}\neq \frac{-1}{4}$