A. . Mexican Territories
E. Independent Republics before becoming States
Both Texas and California had been Mexican Territories.
In both Texas and California large expatriate American population rebelled against the Mexican law and authority. large numbers of the local Mexican populations dissatisfied with the control of far off Mexico City joined in both rebellions.
Both rebellions were successful. The "Bear Flag" independent republic of California was formed before becoming a part of the United States. In Texas the Lone Star Republic existed for a number of years before the political situation allowed Texas to be admitted as a State.
So both A and E are correct answers. Both had been part of Mexico. Both became independent Republics before becoming States in the United States.