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" The cube of a number 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. "
A Complete Arithmetic: Uniting Mental and Written Exercises in a Natural ... - Σελίδα 258
των Emerson Elbridge White - 1870 - 304 σελίδες
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An Advanced Arithmetic for High Schools, Normal Schools, and Academies

George Albert Wentworth - 1898 - 424 σελίδες
...b)s = a? + 3 all1 + 3 atf + b3. Hence, The cube of a number 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. 547....

An Advanced Arithmetic

George Albert Wentworth - 1898 - 424 σελίδες
...+ i)3 = a3 + 3a26_j_3ttj2 + i3- Hence, The cube of a number 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, phis the cube of the units. 547....

School Arithmetic; Advanced Book

John Marvin Colaw, John Kelley Elkwood - 1900 - 450 σελίδες
...(t + o)' = f + Wo + 3to' + o'. Hence, i The cube of a number is 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....

Graded Work in Arithmetic, Βιβλίο 9

Samuel Wesley Baird - 1901 - 388 σελίδες
...consisting of tens and units embraces the following four parts : 1. The cube of the tens, 40s = 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)...

The Arithmetic Help, for Pupils, Teachers, Business Men

Alvord D. Robinson - 1902 - 572 σελίδες
...) + 2s That is, the cube of any number made up of tens and units 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...

The Model Practical Arithmetic

Edward Gideon - 1902 - 272 σελίδες
...the ones; and since the product of the square of tens by ones can give no order lower than hundreds, three times the product of the square of the tens by the ones must be contained in 271 hundreds. If 271 hundreds be divided by three times the square of the...

Ray's Modern Practical Arithmetic: A Revised Edition of Ray's Practical ...

Joseph Ray - 1903 - 366 σελίδες
...cube of the units. The cube of a number consisting 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 tens by the square of the units plus the cube of the units. If...

School Algebra

John Marvin Colaw - 1903 - 444 σελίδες
...cube of the tens, «:i, is subtracted, and the remainder, 19,656, 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...

New Commercial Arithmetic

John Henry Moore - 1904 - 404 σελίδες
...that having subtracted from the given number the cube of its tens, the remainder, 7625 must contain 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. If...

Complete Arithmetic, Μέρος 2

George Wentworth, David Eugene Smith - 1909 - 290 σελίδες
...The cube of any number composed of tens and units contains 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. 101....




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