Passport

I had a lot going on in my life last year and I was not able to get my passport done. I am now trying to do so. On the form, it asks you for other names that you have used, including legal. In this situation, is withholding information the same as lying? Meaning, if I don’t put my previous name, will that hinder or potentially destroy my chance of getting a passport? I have my Social Security card, birth certificate, and drivers license all with matching names and gender markers. I am just hoping that if I did not put my previous name That my application might get through unnoticed, and they have access to all information anyway, so they can just search for it. Please advise.