Question

give name to following property of numbers . a(b+c)=ab+ac verify it for a =5 , b= 16 , c= 9 .

Answer 1

$a(b + c) = ab + ac \\ lhs = a(b + c) \\ lhs = 5(16 + 19) \\ lhs = 5(35) \\ lhs = 175 \\ rhs = ab + bc \\ rhs = 5(16) + 5(19) \\ rhs = 80 + 95 \\ rhs = 175 \\ hence \\ lhs = rhs \\ a(b + c) = ab + ac$
its the ans
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