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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... "
School Arithmetic; Advanced Book - Page 351
by John Marvin Colaw, John Kelley Elkwood - 1900 - 442 pages
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An Arithmetic for Preparatory Schools, High Schools, and Academies

Charles Austin Hobbs - Arithmetic - 1889 - 370 pages
...50616 Or more briefly 1 75616(56 125 In general, the cube of any numlwr 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 cube of the units....
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University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - Algebra - 1889 - 330 pages
...(a + b)3 - a3 + 3a?b + 3atf + b3. That is, a number is equal to cube of the tens of its cube root, 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 cube of the units....
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An Arithmetic for Preparatory Schools, High Schools, and Academies

Charles Austin Hobbs - Arithmetic - 1889 - 362 pages
...from 175616, the remainder is 50616. Since the cube of the tens has been subtracted, 5061*5 equals 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 cube of the units...
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Robinson's New Practical Arithmetic for Common Schools and Academies

Horatio Nelson Robinson - Arithmetic - 1892 - 428 pages
...33. RULE. — To find the cube of a number consisting of tens and units, to the cube of the tens add 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...
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Robinson's New Practical Arithmetic for Common Schools and Academies

Horatio Nelson Robinson - Arithmetic - 1892 - 428 pages
.... RULE. — To find the cube of a number consisting of tens and units, to the cube of the tens add 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...
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An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - Arithmetic - 1893 - 390 pages
...s Whence, 74 s =70"+3 x 70 2 x 4+3 x 70 x 4 2 +4 s . That is, the cube of any number of two figures is equal to the cube of the tens, plus three times the square of the tens times the units, plus three times the tens times the square of the units, plus the...
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Bradbury's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...the cube of a number whose figures are tens and units equals 40 + 40 + в 5 40 x 5 40X 5 + 5« 40« + 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 tlie tens by the square of the units, plus the cube .of the...
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New Franklin Arithmetic, Book 2

Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1895 - 444 pages
...of any number consisting of tens and units is made up of four parts : (1) the cube of the tens, (2) three times the product of the square of the tens by the units, (3) three times the product of the tens by the square of the units, (4) the cube of the units....
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Robinson's New Higher Arithmetic: For High Schools, Academies, and ...

Horatio Nelson Robinson - Arithmetic - 1895 - 526 pages
...RULE. — To find the cube of a number consisting of tens and units. — To the cube, of the tens add 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 nfthe units. Хотя....
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A Complete Arithmetic: With Oral and Written Exercises

George Washington Hull - Arithmetic - 1895 - 408 pages
...for the contents of a cube whose side is 25. Hence, the cube of any number consisting of two figures is equal to the cube of the tens, plus three times the tens squared into the units, plus three times the tens into the units squared, plus tlie units cubed....
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