Question

If a(b + c) = d, then ab + ac = d.

Answer 1

yes. this is true
we here used distributive property in 1st equation and opened the brakets in 2nd equation.

hope this helps:)

Answer 2

L.H.S
a(b+c)=d
ab +bc = d. (by distributive property of add)
L.H.S=R.H.S