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" 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 of the units, plus the... "
The Complete Arithmetic, Oral and Written: Second Part - Page 167
by Daniel W. Fish - 1874 - 272 pages
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - Arithmetic - 1853 - 622 pages
...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. 1. What is the cube root of 91125 ? 91125 ( 40+5=45 (40)3= 64000 3 (40)a=4800 - — 3(40X5)+52= 625...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...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...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 - 1857 - 408 pages
...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. Now, as the square of tens gives at least hundreds, it follows that the product of three times the...
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A Treatise on Algebra

Elias Loomis - Algebra - 1858 - 394 pages
...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...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
...the cube of the tens, plus three times the product of the square of the tens by the units, plus ihret times the product of the tens by the square of the units, plus tin. cube of the units. Thus (47)3=(40)3 + 3 x (40)2 x 7 + 3 x 40 x (7)2 + (7)2 = 103823. Let us now...
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The Progressive Higher Arithmetic, for Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...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. By observing the manner in which the cube is formed, we perceive that each of the last three parts...
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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
...find the next root figure. Place the quotient below the order in the root. It may be too large, since three times the product of the tens by the square of the units may give orders above tens, thus forming a part of 324, cube 54, and since the result is not greater...
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...number, we have the remainder 62224, which must contain three times the product of the square of the tens by the units, plus three times the product of the...the square of the units, plus the cube of the units, or 3 а2 6 -)- 3 a V -|- Ьs. Dividing this remainder by 3a2, that is by three times the square of...
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Elements of arithmetic, tr. by J. Spear

Charles Auguste A. Briot - 1863 - 374 pages
...the units ; the triple of the tens 12 has been also multiplied twice successively by 7, which gives three times the product of the tens by the square of the units ; lastly, the triple square of the tens 48 has been multiplied by the cipher of the units 7. After...
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A Treatise on Algebra

Elias Loomis - Algebra - 1864 - 386 pages
...and the remainder 4167 contains three 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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