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" The cube of a number composed of tens and units is equal to the cube of the tens, plus 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 Progressive Higher Arithmetic, for Schools, Academies, and Mercantile ... - Page 386
by Horatio Nelson Robinson - 1860 - 432 pages
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Manual of Algebra

William Guy Peck - Algebra - 1875 - 348 pages
...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 cube of the units. We first find the tens of the root : since the cube of the tens can contain no significant figure of...
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The New American Arithmetic, Part 3

Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877 - 200 pages
...have (102 X 3 X 5) + (10 X 3 X5 X 5) + (52 X 5), an examination of which will show us that we have three times the square of the tens multiplied by the...the square of the units, plus the cube of the units. Note. — As any number consisting of two or more figures may be ided into a number of tens and units,...
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The Practical Arithmetic on the Inductive Plan: Including Oral and Written ...

William James Milne - Arithmetic - 1877 - 402 pages
...plus the product of three times 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 New American Arithmetic, Part 3

Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877 - 200 pages
...will show us that we 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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Complete Arithmetic: Comprising the New Intermediate Arithmetic and Part of ...

Stoddard A. Felter, Samuel Ashbel Farrand - Arithmetic - 1877 - 496 pages
...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 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
...times the product of the squares of the tens by the units, plus three times the product of the tens by 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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The Franklin Written Arithmetic: With Examples for Oral Practice

Edwin Pliny Seaver - Arithmetic - 1878 - 380 pages
...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 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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Bradbury's Eaton's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1879 - 392 pages
...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 cube of the units, if we subtract from 91125 the cube of the tens of the root, that is 40s, or 64000, the remainder, 27125,...
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - Algebra - 1879 - 350 pages
...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 cube of the units. For, if the tens of a number be denoted by a, and the units by 6, the number will be denoted by a -\-...
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The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1875 - 472 pages
...the square of 4, and the fourth is the cube of 4. Hence, III. The cube of a number composed of tens and. units is equal to the cube of the tens, plus...the square of the units, plus the cube of the units. parts, considered as one number, may therefore be separated into two factors, thus, (3 X 502 + 3 X...
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