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" The cube of a number consisting of TENS and UNITS is equal to the cube of the tens... "
The New American Arithmetic - Page 94
by Samuel Mecutchen, George Mornton Sayre - 1877
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 326 pages
...there remains 39, which, with the remaining portion 823, gives 39823; and this result contains still three times the square of the tens multiplied by the units, plus the two other parts above named. Now the square of a number of tens containing no figure inferior to...
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Elements of Algebra

Algebra - 1838 - 372 pages
...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 of the square of the tens by the units, plus three times the product of the tens by the square...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...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 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,...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...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 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,...
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The American Arithmetic

James Robinson (of Boston.) - 1847 - 304 pages
...25. By examining the component parts of the third power of 20 + 5, we perceive that it is composed of the cube of the tens, plus three times the square...tens multiplied by the units, plus three times the tens multiplied by the square of the units, plus the cube of the units. We will now reverse the process...
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - Arithmetic - 1851 - 280 pages
...3000=3 (40 X 52). 125=(53). It is obvious that the cube of any number, of more than one figure, is the cube of the tens , plus three times the square of the tens, multiplied by the units, phis three times the tens, multiplied by the square of the units , plus the cube of the units. 1; What...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...(t-\-u)3— the cube of the number. Hence, the cube of any number consisting of tens and units, it equal to the cube of the tens, — plus three times the square of the tens, plus three limes the product of the tens and units, plus the square of the units, all three multiplied...
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - Arithmetic - 1853 - 622 pages
...3000=3 (40 X 62). 125=(53). It is obvious that the cube of any number, of more than One figure, is the cube of the tens, plus three times the square...tens, multiplied by the units, plus three times the tens, multiplied by the square of the units, plus the cube of the units. 1. What is the cube root of...
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A Practical and Theoretical Arithmetic: Designed for the Use of Schools and ...

Charles D. Lawrence - Arithmetic - 1854 - 336 pages
...80+3 ___ 80X4* __ ~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...tens, multiplied by the units, plus three times the tens multiplied by the square of units, plus* the cube of the units. Let us now seek to extract the...
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Arithmetic, Oral and Written, Practically Applied by Means of Suggestive ...

Thomas H. Palmer - Arithmetic - 1854 - 368 pages
...CUBE of any number of tens and units is equal to the cubes of the tens and units taken separately, plus three times the square of the tens multiplied by the units, and three times the square of the units multiplied by the tens. 9. Involve 18 to the third power, as...
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