falsify vs give a false idea of

falsify

verb

To misrepresent.
To alter so as to make false; to make incorrect.
To prove to be false.
To counterfeit; to forge.
To show (an item of charge inserted in an account) to be wrong.

give a false idea of

How often have the words falsify and give a false idea of occurred in a corpus of books? (source: Google Ngram Viewer )