Franklin Pierce was an expansionist American president who signed the treaty authorizing the Gadsden Purchase of land from Mexico, but his similar attempt to (i) _buy land to join_ Cuba was unpopular, even within his own party. He further cemented the (ii) _hatred__ of his political opponents with his pro-slavery policies, which ultimately led his party to (iii) _reject_ him and reject his bid for a second term.

first clue is that signed the treaty authorizing the Gadsden Purchase of land from Mexico, but his similar attempt to buy land from cuba was unpopular, so annex make sense which means add
now for second clue we look at full context that he was unpopular and in the last sentence he was rejected by his own party so the opponent must be hate him for his action, so enmity is perfect.
for the 3rd bland he was rejected his bid so he was rejected by his own party, repudiate means to reject.

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Franklin Pierce was an expansionist American president who signed the treaty authorizing the Gadsden Purchase of land from Mexico, but his similar attempt to (i) _______ Cuba was unpopular, even within his own party. He further cemented the (ii) _______ of his political opponents with his pro-slavery policies, which ultimately led his party to (iii) _______ him and reject his bid for a second term.


We are told that he was an expansionist American president, and he had signed the treaty organizing the Gadsden Purchase of land from Mexico. Since his attempt with regards to Cuba is describe as similar, it must involve obtaining more land, and hence annex is the right word for the first blank.

Now lets go to the third blank. Since his party ultimately rejected his bid for a second term, the word for the third blank is repudiate. A repudiation can be a precursor to rejection.

And only the enmity of his political opponents, can ultimately lead to repudiation and rejection.