Question

verify a÷(b +c)=(a÷b)+(ca÷c) when a =10 b =5 and c=-2
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Answer 1

Given

• To verify a÷(b+c) = (a÷b) + (ca÷c)
• a = 10
• b = 5
• c = - 2

Solution

$a \div (b + c) = ( a\div b ) + (ca \div c) \\ 10 \div (5 - 2) = (10 \div 5) + ( ( - 2)(10) \div ( - 2)) \\ \frac{10}{3} = \frac{10}{5} + \frac{( - 2)(10)}{( - 2)} \\ \frac{10}{3} = 2 + 10 \\ \frac{10}{3} = 12$

10/3≠12

Therefore a÷(b+c) ≠ (a÷b) + (ca÷c)