 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 351by John Marvin Colaw, John Kelley Elkwood - 1900 - 442 pagesFull view - About this book
 | L. I. M. Chevigné - Mathematics - 1807 - 294 pages
...two figures to the right of the number of which we are speaking, the part on the left will contain three times the product of the square of the tens by the units; anil, if we divide this number by three times the square of the ten«, we shall have the units... | |
 | Algebra - 1838 - 372 pages
...by b, we have (Art. 198), 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 cube of the units.... | |
 | Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...by b, we have (Art. 198), 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 47 8 48 48 47 47 384 192 329 188 2304 48 2209 47 18432 9216 15463 8836 110592 1038-23 of the square... | |
 | Davis Wasgatt Clark - 1844 - 394 pages
...inspecting the above examples, it will be perceived 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 tens by the square of the units, plus the cube of the units. Let it now... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...number composed of tens and units, is made up of four distinct parts : viz., 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, and the cube ef the units. Now,... | |
 | Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...inspecting the above examples, it will be perceived 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 tens by the square of the units, plus the cube of the units. Let it now... | |
 | Charles D. Lawrence - Arithmetic - 1854 - 336 pages
...X 42+4°3=592704, cubs of 80 + 4. 28* That is, The cube of any number consisting 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... | |
 | William Scott - Arithmetic - 1854 - 232 pages
...represent the values of the consecutive figures of a number, a being the highest figure. Then Whence the cube of a number is equal to the cube of the first figure, plus three times the square of the first figure into the second figure, plus three times... | |
 | Elias Loomis - Algebra - 1855 - 356 pages
...which is 2. Hence 2 must be the number of tens 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 tens by the square of the units, plus the cube of the units.... | |
 | Charles Davies - Algebra - 1857 - 408 pages
...a, and its units by 6 ; we shall have, N — a + b ; whence, N3 = a3 + 3a26 + 3aJ2 + b3 ; that is, The cube of a number is equal to the cube of the tens,...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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