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" The cube of a number composed of tens and units is equal to the cube of the tens, 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. "
The Progressive Higher Arithmetic, for Schools, Academies, and Mercantile ... - Page 386
by Horatio Nelson Robinson - 1860 - 432 pages
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A Practical Arithmetic: Designed for Grammar Schools and Academies

George E. Seymour - Arithmetic - 1880 - 332 pages
...3 (20X4) -f-42 K b. 507. Hence, The cube of any number consisting of tens and units is composed of the cube of the tens, plus three times the square...the square of the units, plus the cube of the units. 1st. Part. The cube of the tens. 2d. Part. Three times the square of the tens, multiplied by the units....
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Complete Graded Arithmetic: Oral and Written, Upon the Inductive Method of ...

James Bates Thomson - Arithmetic - 1882 - 450 pages
...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. NOTE.— Since the cube of a number consisting of tens and units is equal to the cube of the tens,...
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Fish's Arithmetic Number Two: Oral and Written, Upon the Inductive ..., Book 2

Daniel W. Fish - Arithmetic - 1883 - 364 pages
...three times the square of the tens of the root by the units, plus three times the product of the tens by the square of the units, plus the cube of the units (4OO). If the remainder 62224 be divided by 3 x 702 or 14700, the quotient, which is 4, will be the...
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Fish's Arithmetic Number One[-two]: Oral and Written ..., Volume 2

Daniel W. Fish - Arithmetic - 1883 - 348 pages
...three times the square of the tens of the root by the units, plus three times the product of the tens by the square of the units, plus the cube of the units (4OO). If the remainder 62224 be divided by 3 x 70s or 14700, the quotient, which is 4, will be the...
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Outlines of Number Science

Nathan Newby - Arithmetic - 1884 - 206 pages
...the sum of the hundreds and tens multiplied by the units, plus 3 times the sum of the hundreds and tens multiplied by the square of the units, plus the cube of the units. This formula is abbreviated thus : h3 + 3h3 X t + 3 h X t' + t3 + 3 [h + t]2 X u + 3 [h + i] X u2 +...
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Practical Arithmetic

Charles Scott Venable - Arithmetic - 1888 - 402 pages
...by the units plus the square of the units. IV. The cube of a number containing tens and units equals the cube of the tens plus three times the square of...the square of the units, plus the cube of the units. SQUARE ROOT. 9O9. Inductive Exercises : 10' = 100. = 81. 993 = 9,801. 1003 = 10,000. 999' = 998,001....
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Complete Arithmetic: Combining Oral and Written Exercises

Edward Sylvester Ellis - Arithmetic - 1889 - 370 pages
...x 5) + 3 (30 x 53) + 53 = 42,875. Hence, the cube of any number consisting of tens and units equals the cube of the tens, plus three times the square...the square of the units, plus the cube of the units. 23 = 8. From the cubes in the margin we 53 = 125. may infer that the cube of any num12 3 = 1728. ber...
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An Arithmetic for Preparatory Schools, High Schools, and Academies

Charles Austin Hobbs - Arithmetic - 1889 - 362 pages
...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. I. Find the cube root of 175616. Since the number consists of two periods, the cube root will consist...
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University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - Algebra - 1889 - 330 pages
...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. We first find the tens of the root. Since the cube of the tens can contain no significant figure of...
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Commercial Arithmetic

Oscar F. Williams - Arithmetic - 1894 - 332 pages
...from the remainder three times the square of the tens multiplied by the units, plus three times th# tens multiplied by the square of the units, plus the cube of the units. REMARKS. — 1. In examples of more periods than two, proceed as above, and after two root figures...
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