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" The cube of a number 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 cube of the units. "
Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ... - Page 200
by Charles Davies - 1857 - 400 pages
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Mathematical Manual for the Use of Colleges and Academies, Volume 1

L. I. M. Chevigné - Mathematics - 1807 - 294 pages
...two figures to the right of the number of which we are speaking, the part on the left will contain three times the product of the square of the tens by the units; anil, if we divide this number by three times the square of the ten«, we shall have the units...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...125,000 ; hence the required root is composed of 4 tens, plus a certain number of units less than ten. Having found the number of tens, subtract its cube 64 from 103 ; there remains 39, and bringing down the part 823, we have 39823, which contains three times the square...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...perceived 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 tens by the square of the units, plus the cube of the units. Let it now...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...125,000 ; hence, the required root is composed of 4 tens, plus a certain number of units .less than ten. Having found the number of tens, subtract its cube,...and we have 39823, which contains three times the square of the tens by the units, plus the two parts named above. Now, as the square of tens gives at...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...perceived 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 tens by the square of the units, plus the cube of the units. Let it now...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...root of which is 2. Hence 2 must be the number of tens whose cube is 8000 ; and the remainder 4167 contains 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 cube of the units....
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A Treatise on Algebra

Elias Loomis - Algebra - 1858 - 394 pages
...root of which is 2. Hence 2 must be the number of tens whose cube is 8000 ; and the remainder 4167 contains 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 cube of 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
...of 4 tens, plus a certain number of un'ts less than ten. 48 47 48 47 384 329 192 188 2304 2209 48 47 18432 15403 9216 8836 Having found the number of tens,...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....
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1860 - 412 pages
...4 tens, plus a certain number of uu'.ts less than ten. 48 47 48 47 384 329 192 188 2304 2209 48 47 18432 15403 9216 8836 Having found the number of tens,...contains three 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...
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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
...that is, TJie cube of any 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 cube of the units....
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