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The seventh grade people's education edition mathematics new curriculum study goal and test page 33 explores the answer.
5x5=25, 1+ 1=2, so: 15x 15=225 (this is not written).

Law: The sum of the same digits of ten digits is the multiplication of two digits of 10, and its product is: the multiplication of two digits yields the last two digits, and the multiplication of ten digits by the sum of ten digits and 1 (that is, ten digits x (ten digits+1) yields the first two digits).

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