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" ... the cube of the tens, three times the square of the tens multiplied by the units, three times the tens multiplied by the square of the units, and the cube of the units. "
A Treatise on Arithmetic ... - Side 260
av Noble Heath - 1855 - 455 sider
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The Principles of Arithmetic ...

Joseph Ray - 1856 - 400 sider
...first prove this PROPOSITION. — The cube of any number containing tens and units, will consist of the cube of the tens, three times the square of the...the square of the units, and the cube of the units. DEM. -Multiply the (47)2 = 1600+ 560+ 49 square of 47 (Art. 389) <~ _ 40-4-7 by 47 = 40 +• 7. The...
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The New American Arithmetic, Del 3

Samuel Mecutchen, George Mornton Sayre - 1877 - 200 sider
...thousands is 1. Subtracting the cube of 1 ten, (10") = 1000, from 3375, there remains 2375, which contains three times the square of the tens multiplied by the units, three times the square of the units multiplied by the tens, and the cube of the units. Dividing 2375 by three times...
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National Arithmetic, Oral and Written: For Common and Graded Schools ...

Joseph Ficklin - 1881 - 412 sider
...the remainder is 146503. This remainder is composed of three times the square of the tens of the root multiplied by the units, three times the tens multiplied...the square of the units, and the cube of the units (537). Hence, if 146503 be divided by three times the square of the tens of the root, that is, by 19200,...
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Sadlers̓ Hand-book of Arithmetic: Containing the Principles of Arithmetic ...

Warren H. Sadler, William Russell Will - 1885 - 422 sider
...process by which its cube was obtained : [ / ] The cube of any number composed of lens and units equals the cube of the tens -\-three times the square of...times the tens multiplied by the square of the units + the cube of the units. [j/] If, commencing with the units' place, a perfect cube be separated into...
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Numbers Applied, a Complete Arithmetic, Del 1

Andrew Jackson Rickoff - 1886 - 688 sider
...units, r — Or, 64000 + 14400 + 1080 -f 27 ) Whereby we find that 367. The cube of 43 is equal to the cube of the tens + three times the square of the tens multiplied by the units + three times the square of the units multiplied by the tens + the cube of the units. The same may be shown to be true...
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Numbers Applied

Andrew Jackson Rickoff - 1888 - 464 sider
...unite. 3xeq, of units by tens. cu. of units, i — Whereby we find that 367. The cube of 43 is equal to the cube of the tens + three times the square of the tens multiplied by the units -\- three times the square of the units multiplied by the tens -\- the cube of the units. The same may be shown to be true...
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An Advanced Arithmetic, Theoretical and Practical

James William Nicholson - 1889 - 408 sider
...= ta -\- 312« + Btu2 + M3. That is, the cube of any number composed of tens and units is equal to the cube of the tens, -\- three times the square of the tens by the units, -\- three times the tens by the square of the units, -\- the cube of the units. Geometrical...
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Robinson's New Practical Arithmetic for Common Schools and Academies

Horatio Nelson Robinson - 1892 - 428 sider
...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 of the units. The cube of a number divided into any two parts is equal to the cube of the first part -f 3 times the...
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Robinson's New Practical Arithmetic for Common Schools and Academies

Horatio Nelson Robinson - 1892 - 428 sider
...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 of the units. The cube of a number divided into any two parts m equal to the cube of the first part + 3 times the...
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Complete Arithmetic, Parts 2 and #3

George E. Mercer - 1909 - 312 sider
...+ 7200 + 2160 + 216 = 17,576. That is, the cube of a number composed of tens and units is equal to the cube of the tens + three times the square of the tens times the units + three times the tens times the square of the units + the cube of the units. (t +...
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