Question

distribution property for multiplication over subraction is true for rational number. that is, a(b-c) =ab-ac​

Answer 1

Yes, it is true.

for example, lets take a=1, b=2 & c=3

=> 1(2-3) =2×1 - 3×1

=2-3 = -1

now, lets do it differently, => 1(2-3)

=1× -1 = -1

since both of the methods obtain the same answer,

therefore distribution property for multiplication over subraction is true for rational number.