Here's a bit of analysis for you: One of Jeb Bush's trickiest problems is that the president that preceded Barack Obama was his brother, George Walker Bush. Did you know that? It is true.

But that didn't really come up during Jeb's presidential announcement Monday. The references to W. were generally oblique ones -- and ones that, notably, seemed to imply some criticism.

For example:

Jeb said: "[The Democrats] are responsible for the slowest economic recovery ever, the biggest debt increases ever..."

He didn't mention: What the recovery was recovering from: The recession that began under George W.'s administration. He also didn't mention that the debt increases began under his brother -- a response to that same economic shock.

Jeb said: "There is not a reason in the world why we cannot grow at a rate of 4 percent a year. And that will be my goal as president – 4 percent growth, and the 19 million new jobs that come with it."

He didn't mention: When Jeb made a similar comment in February, we noted that neither his brother nor his father hit 4 percent GDP growth in any quarter of their presidencies.

On average, they oversaw growth of about 2 percent -- similar to President Obama.

Jeb said: "Growth that lifts up the middle class – all the families who haven't gotten a raise in 15 years. Growth that makes a difference for everyone."

He didn't mention: That 15-year marker spans the presidencies of both Barack Obama and George W. Bush. Fifteen years ago, Bush's Democratic opponents would probably be quick to note, the president was Democrat Bill Clinton.

Jeb said: "We will also challenge the culture that has made lobbying the premier growth industry in the nation’s capital."

He didn't mention: Lobbying spending rose from $1.64 billion in 2001, George W. Bush's first year in office, to $3.3 billion by 2008. Under Obama in 2010, it peaked at $3.52 billion, then dropped to $3.24 billion last year.

None of this is to suggest any hypocrisy on the part of Bush. Instead, it's to point out one of the key challenges he faces: Criticizing things that began or worsened under the last president to share his last name.

As Monday's carefully crafted speech makes clear, it's unavoidable.