Question 939655
You are not wrong dear, you only did not finish your simplification
8ac+12ad+10bc+15bd
Simplifying
4a(2c + 3d) + 5b(2c + 3d)
This then becomes
(4a+5b)(2c+3d)

QED

NB: Even when you rearrange the function, you would still arrive at this exact answer.