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" Therefore the cube of 25 equals the cube of the tens, plus three times the square of the tens into the units, plus three times the tens into the square of the units, plus the cube of the units. "
The Philosophy of Arithmetic as Developed from the Three Fundamental ... - Page 274
by Edward Brooks - 1876 - 570 pages
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Elements of Arithmetic and Algebra: For the Use of the Royal Military College

William Scott - Algebra - 1844 - 568 pages
...of the tens of the number, plus three times the square of the tens into the units, plus three tunes the tens into the square of the units, plus the cube of the units, making b= 1 , a3 + 3a86 + 3<zi2 + b3 becomes a3+3a2+3a + l=(a+l)3 subtracting a3 the remainder is 3a2...
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A New System of Arithmetic on an Improved Plan

Charles Guilford Burnham - 1850 - 350 pages
...: Three times the product of the square of the tens into the units, plus three times the product of the tens into the square of the units, plus the cube of the units. Now, as the square of tens gives hundreds, it follows, that three times the square of the tens into...
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The American Arithmetic: In which the Principles of Numbers are Explained ...

James Robinson (Jr.) - Arithmetic - 1851 - 336 pages
...three times the square of the tens multiplied by the units, plus three times the tens multiplied by the square of the units, plus the cube of the units. The whole root of 8000 + 6000 + 1500 + 125 is 20 + 5, or 25. We will now reverse the process of finding...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...annexing the next period, we have as the entire remainder, 19656, equal three times the square of the tens into the units, plus three times the tens into the square of the units, plus the cube of the units, or the product of three times the square of the tens, plus three times the tens into the units, plus...
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A New System of Arithmetic, on an Improved Plan, Embracing the Rules of ...

Charles Guilford Burnham - 1857 - 342 pages
...: Three times the product of the square of the tens into the units, plus three times the product of the tens into the square of the units, plus the cube of the units. Now, as the square of tens gives hundreds, it follows, that three times the square of the tens into...
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Burnham's Arithmetic, Revised: A New System of Arithmetic, on an Improved ...

Charles Guilford Burnham - Arithmetic - 1857 - 328 pages
...Three times the product of the square of the tens into the units, %)lus three times the product of the tens into the square of the units, plus the cube of the units. Now, as the square of tens gives hundreds, it follows, that three times the square of the tens into...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...consisting of TENS and UNITS is equal to the cube of the tens, plus three times the square of the tens into the units, plus three times the tens into the square of the units, plus the cube of the units. Thus, if the tens of a number be denoted by a, and the units by l>, the cube of the number will be...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 472 pages
...consisting of TENS and UNITS is equal to the cube of the tens, plus three times the square of tht tens into the units, plus three times the tens into the square of the units, plus the cube of the units. Thus, if the tens of a number denoted by a, and the units by b, the cube of the number will be denoted...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 456 pages
...um/x. Then 4G65G = the cube of tens, plus three times the square of the tens into the units, plus throe times the tens into the square of the units, plus the cube of the units. The cube of tens la thousands, and must therefore be found in the thousands of the number. The greatest...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1860 - 460 pages
...units, which cube will of course equal the cube of the tens, plus three times the square of the tens into the units, plus three times the tens into the square of the units, plus the cube of tho units. But the cube of the tens, or (23)3, has already been taken from the given number, leaving...
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