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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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An Elementary Course of Instruction for Mine Foremen and Pit Bosses

Floyd Davis - Mining engineering - 1900 - 148 pages
...of 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 trial, it is found that three times the square of the tens, when used as a divisor, gives 5 as the...
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Heath's Complete Practical Arithmetic

Charles Edward White - Arithmetic - 1901 - 472 pages
...units is equal to the cube of the tens plus 3 times the square of the tens by the units, plus 3 times the tens by the square of the units, plus the cube of the units. 20 2 20 s + 3 (20 2 20» x (202 20 •4 2 (20 + (20 x (20 x 4) + 2 x (20 + 2 (202 x 4) + x4) + 8 x...
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Graded Work in Arithmetic, Book 9

Samuel Wesley Baird - Arithmetic - 1901 - 388 pages
...64,000. 2. Three times the product of the square of the tens by the units, 3(402 x 5) = 24,000. 3. Three times the product of the tens by the square of the units, 3(40 x 52) = 3000. 1600 200 + 25 + 200 40 + 6 40 + 5 225 1800 45 45 1600 = + 400 + 25 40 + 5 2025 45...
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New Practical Arithmetic

Eugene L. Dubbs - Arithmetic - 1901 - 462 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. As 15,625 consists of five figures, its cube root will contain two figures, tens and units (Art. 218,...
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The Model Practical Arithmetic

Edward Gideon - 1902 - 272 pages
...equal to the cube of the tens, plus three times the product of the square of the tens by the ones, plus three times the product of the tens by the square of the ones, plus the cube of the ones. Note 1. —Since every number can be regarded as being composed of...
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The Arithmetic Help, for Pupils, Teachers, Business Men

Alvord D. Robinson - Arithmetic - 1902 - 572 pages
...equals — 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 + the cube of the units, or tens8 + 3 (tens2 x units) + 3 (tens x units3 ) + units8 . EXAMPLE : Find...
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An Inductive Arithmetic for Intermediate and Higher Grades of Public and ...

Joseph Henry Dunbar - Arithmetic - 1902 - 404 pages
...square of the preceding figures multiplied by the units, plus 3 times the preceding figures multiplied by the square of the units, plus the cube of the units," or prfs3 + 3( prfs2 X u) +3(prfsXu2)+u3. We wish to factor the last three terms of this expression...
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Elementary School Mathematics by Grades: Arithmetic, geometry, and algebra ...

William Estabrook Chancellor - Arithmetic - 1902 - 178 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. We may illustrate cube root geometrically. The cube of 25 is 15625. Take a block of soft pine wood,...
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Ray's Modern Practical Arithmetic: A Revised Edition of Ray's Practical ...

Joseph Ray - Arithmetic - 1903 - 366 pages
...of tens and units equals 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...the square of the units plus the cube of the units. If we express tens by t and units by u, we have the formula : (* + w)» = ta + 3 flu + 3 tu* + u*....
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School Algebra

John Marvin Colaw - Algebra - 1903 - 444 pages
...contains 3 fo + 3 to2 + o3, that is, three times the product of the square of the tens by the ones + three times the product of the tens by the square of the ones + the cube of the ones. Each of these parts contains the ones' number as a factor. Hence the 19,056...
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