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To multiply forty-six times forty-six, you figure how much greater forty-six is than twenty-five. The answer is twenty-one. Then you figure how much less forty-six is than fifty. The answer is four. You square the four and get sixteen. You put the twenty-one and the sixteen together and the answer is twenty-one sixteen, or 2,116.
To multiply forty-four times forty-four, you figure how much greater forty-four is than twenty-five. The answer is nineteen. Then you figure how much less forty-four is than fifty. The answer is six. You square the six and get thirty-six. You put the nineteen and the thirty-six together, and the answer is nineteen thirty-six, or 1,936.
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Frank B. Gilbreth Jr. (Cheaper by the Dozen)