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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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A Treatise on Algebra

Elias Loomis - Algebra - 1858 - 394 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, then, we divide this remainder by three times the square of the tens, we shall obtain the units,...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1860 - 412 pages
...times the product of the square of the lens by the units, plus three times the product of the tens by the square of the units, plus the cube of the units, Now, as the square of tens gives at least hundreds, it follows that the product of three times the...
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Bryant and Stratton's Commercial Arithmetic: In Two Parts. Designed for the ...

Emerson Elbridge White - Arithmetic (Commercial), 1861 - 1861 - 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. Let us now proceed to determine a process by which the cube root of a number may be found. Ex. 1. What...
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 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 а...
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A Treatise on Algebra

Elias Loomis - Algebra - 1864 - 386 pages
...times the product of the square of the tens by the units, vlus three times the product of the tens by the square of the units, plus the cube of the units. If, then, we divide this remainder by three times the square of the tens, we shall obtain the units,...
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A Complete Arithmetic: Uniting Mental and Written Exercises in a Natural ...

Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...product of the square of the tens of its root by the units, plus three times the product of the tens by the square of the units, plus the cube of the units. But since the square of tens gives no order lower than hundreds (Art. 407), the 461 hundreds of the...
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The Complete Arithmetic, Oral and Written: Second Part

Daniel W. Fish - Arithmetic - 1874 - 302 pages
...three times the square of the tens of the root by the units, plus three times the product of the tens by the square of the units, plus the cube of the units (8O4, PRIN.) But the product of the square of tens by units cannot be of a lower order than hundreds...
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The Complete Arithmetic: Oral and Written

Daniel W. Fish - Arithmetic - 1874 - 542 pages
...three times the square of the tens of the root by the units, plus three times the product of the tens by the square of the units, plus the cube of the units (8O4, PRIN.). But the product of the square of tens by units cannot be of a lower order than hundreds...
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The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1875 - 468 pages
...the tens, plus three times the square of the tens multiplied by the units, plus three times the tern multiplied by the square of the units, plus the cube...therefore be separated into two factors, thus, (3 X 50* + 3 X 50 X 4 + 42) X 4. Hence, IV. If the cube of the tens be subtracted from the. entire cube,...
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The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1875 - 462 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 three...observing the manner in which the cube is formed, we perccive at each of the last three parts contains the units as a factor; these parts, considered as...
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