Question

verify a÷(b+c) is not equal to (a÷b)+(a+c) for each of the following values of a,b and c......
questions: a=10,b= -6,c=4 and second one: a= -12, b=3, c=1 please answer both with explaination and I'll mark you brainliest​

Answer 1

a÷(b+c) ≠ (a÷b) + (a÷c)

(1)a = 10,b = - 6,c = 4

=> a÷(b + c) = 10÷(-6+4) = 10÷(-2) = -5

=>

$\frac{a}{b} = \frac{10}{ - 6} = \frac{ - 5}{3}$

$\frac{a}{c} = \frac{10}{4} = \frac{5}{2}$

$\frac{a}{b} + \frac{a}{c} = \frac{ - 5}{3} + \frac{5}{2} = \frac{5}{6}$

=> 5/6 ≠ 5

(2) a = - 12,b = 3,c = 1

=> a÷(b+c) = (-12)÷(3+1) = (-12)÷4 = - 3

=>

$\frac{a}{b} = \frac{ - 12}{3} = - 4$

$\frac{a}{c} = \frac{ - 12}{1} = - 12$

$\frac{a}{b} + \frac{a}{c} = - 4 + ( - 12) = - 16$

=> - 16 ≠ - 3

hope it helps...!