The difference is [tex]3a - 2b[/tex].Here's whyTo find the difference of [tex](5a - 7b) - (2a - 5b)[/tex], we can distribute the negative sign and then combine like terms:[tex](5a - 7b) - (2a - 5b) = 5a - 7b - 2a + 5b[/tex] Now, combine the [tex]a[/tex] terms and the [tex]b[/tex] terms:[tex](5a - 2a) + (-7b + 5b) = 3a - 2b[/tex]Thus, the difference is:[tex]3a - 2b[/tex]