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" ... 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. "
An Arithmetic for Preparatory Schools, High Schools, and Academies - Page 275
by Charles Austin Hobbs - 1889 - 343 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 in the...
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Elements of Algebra

Algebra - 1839 - 368 pages
...the tens by a, and the units by A, we have (Art. 198), Whence it follows, that the cube of a number composed of tens and units, is equal to the cube of...square of the tens by the units, plus three times tlie product of the tens ly the square of the units, plus the cube of the units. This being the case,...
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...the tens by a, and the units by b, we have (Art. 198), 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 47 8 48 48 47 47 384 192 329 188 2304 48 2209 47 18432 9216 15463 8836 110592 1038-23 of the square...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...3000+ 125=91 125 283. On inspecting the above examples, it will be perceived that the cube of a number composed of tens and units is equal to the cube of...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 be required to reverse the...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...number composed of tens and units, is made up of four distinct parts : viz., the cube of the tens, three times the product of the square of the tens by the units, three times the product of the tens by the square of the units, and the cube ef the units. Now, the...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...24000+3000+125 = 91125 283. On inspecting the above examples, it will be perceived that the cube of a number composed of tens and units is equal to the cube of...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 be required to reverse the...
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A Practical and Theoretical Arithmetic: Designed for the Use of Schools and ...

Charles D. Lawrence - Arithmetic - 1854 - 336 pages
...~80'+3X80'X4 X 3 X 80 X 42+4°3=592704, cubs of 80 + 4. 28* That is, The cube of any number consisting 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...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...the units, tens, hundreds, &c. of the cube root of that number. 2. The cube of a number 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...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1857 - 408 pages
...from 103, and there remains 39, to which bring down the part 823, and we have 39823, which contains three times the product of the square of the tens by the unite, plus three times the product of the tens by the square of the units, plus the cube of the units....
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...the units, tens, hundreds, &c. of the cube root of that number. 2. Tlie cube of a number 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...
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