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" Whence it follows, that the cube of a number composed of tens and units, is equal to the cube of the tens, plus three times the product of the square of the tens by the units, plus three times the product of the tens by the square of the units, plus the... "
The Complete Arithmetic, Oral and Written: Second Part - Page 167
by Daniel W. Fish - 1874 - 272 pages
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Complete Arithmetic: Comprising the New Intermediate Arithmetic and Part of ...

Stoddard A. Felter, Samuel Ashbel Farrand - Arithmetic - 1877 - 496 pages
...by two figures equals the cube of the tens, plus three times the product of the square of the tens by the units, plus three times the product of the...the square of the units, plus the cube of the units; or, (t -\- w)3 = í' + 3í2w-|3 t w2 + M3. PROBLEM. — Write the cube of 43. PROCESS. — 40s = 64000...
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Complete Arithmetic: Theoretical and Practical

William Guy Peck - Arithmetic - 1877 - 430 pages
...and units is equal to the cube of the tens, plus three times the product of the squares of the tens by the units, plus three times the product of the...the square of the units, plus the cube of the units. Thus, the cube of 26, which is the same as the cube of 20 + 6, is equal to 203 + 3x202x6 + 3x20x62...
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New Elementary Algebra: In which the First Principles of Analysis are ...

Benjamin Greenleaf - Algebra - 1877 - 662 pages
...of figures, is equal to the cube of the tens, plus three times the product of the square of the tens by the units, plus three times the product of the tens by the square of the units, plut the cube of the units. For, if the tens of a number be denoted by a, and the uniti by b, the number...
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The New American Arithmetic, Part 3

Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877 - 200 pages
...have three times the square of the tens multiplied by the units, plus three timea the tens multiplied by the square of the units, plus the cube of the units. From the preceding analysis we derive the following RULE. Separate the given number into periods of...
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The Practical Arithmetic on the Inductive Plan: Including Oral and Written ...

William James Milne - Arithmetic - 1877 - 418 pages
...the square of the tens multiplied by the units, plus the product of three times the tens multiplied by the square of the units, plus the cube of the units. Hence, 508. PRINCIPLE.—The cube of any number consisting of tens and units is equal to the tens '...
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The Franklin Written Arithmetic: With Examples for Oral Practice

Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1878 - 360 pages
...the cube of 43 = 64 the tens of the root, plus — three times the product of the square of the tens by the units, plus three times the product of the...the square of the units, plus the cube of the units. As the first part of the power, the cube of tens, is thousands, we find the greatest cube contained...
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The Franklin Written Arithmetic: With Examples for Oral Practice

Edwin Pliny Seaver - Arithmetic - 1878 - 380 pages
...(1.) The cube of the tens. (2.) Three times the product of the square of the tens by the units. (3.) Three times the product of the tens by the square of the units. (4.) The cube of the units. These parts may be expressed by the formula, Tens3 + 3 (tens2 x units)...
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The Franklin Written Arithmetic, with Examples for Oral Practice

Edwin Pliny Seaver - 1878 - 376 pages
...it the cube of 43 = 64 the tens of the root, plus three times the product of the square of the tens by the units, plus three times the product of the tens by tlie square of the units, plus the cube of the units. As the first part of the power, the cube of tens,...
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - Algebra - 1879 - 322 pages
...number, we have the remainder 62224, which must contain three times the product of the square of the tens by the units, plus three times the product of the...the square of the units, plus the cube of the units, or 3 a2 4 -f- 3 a 42 -f- 62. Dividing this remainder by 3 a2, that is by three times the square of...
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Bradbury's Eaton's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1879 - 392 pages
...tens and units equals The cube of the tens, plus three times the product of the square of the tens by the units, plus three times the product of the...the square of the units, plus the cube of the units. 87. Find the cube root of 91125. OPERATION. 91125 (45, Ans. 64 Trial divisor, 3 X 402 = 4800 27125...
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