 | William Estabrook Chancellor - Arithmetic - 1902 - 178 pages
...3(40 x 5 2 ) + & = 64000 + 24000 + 3000 + 125 = 91125 The cube of any number of two figures equals the cube of the tens plus three times the square of...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,... | |
 | Joseph Henry Dunbar - Arithmetic - 1902 - 404 pages
...times the 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... | |
 | Joseph Ray - Arithmetic - 1903 - 366 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. If we express tens by t and units by u, we have the formula : (* + w)» = ta + 3 flu + 3 tu* + u*.... | |
 | John Henry Moore - Business mathematics - 1904 - 404 pages
...503+3x(502x7)+3x(50x72)+73=185,193 1003. Hence the following general principle may be stated : The cube of a number is equal to the cube of the tens, plus three times...the square of the units, plus the cube of the units. t 1004. Example. Extract the cube of 15625. t34-3t2u+3tu2+u3=15.625(2 5 t3= 3t2u+3tu2+u»= or 8000... | |
 | John Henry Moore - Business mathematics - 1904 - 404 pages
...considered as tens, so obtaining the second or units' figure of the root ; next subtract from the remainder three times the square of the tens multiplied by the...the square of the units, plus the cube of the units. In case the remainder, at any time after bringing down the next period? be less than the trial divisor,... | |
 | John Henry Moore - Business mathematics - 1907 - 432 pages
...a number is equal to the cube of the tens, plus three times the square of the tens, multiplied Ъу the units, plus three times the tens multiplied by...the square of the units, plus the cube of the units. §1044] POWERS AND BOOTS 1044. Example. Extract the cube of 15625. t*+3fu+3tuï+u!l=15.625(2 5 t»=... | |
 | Bruce Mervellon Watson, Charles Edward White - Arithmetic - 1908 - 454 pages
...is equal to the cube of the tens plus 3 times the square of the tens multiplied by the units, plus 3 times the tens multiplied by the square of the units, plus the cube of the units. By reversing the process, we may find the cube root. 1. What is the cube root of 13,824 ? SOLUTION.—Separating... | |
 | Lorenzo Dow Harvey - Arithmetic - 1909 - 412 pages
...+ a certain number of units, it follows that the cube of any number of two or more figures equals : The cube of the tens plus three times the square of...the square of the units, plus the cube of the units. 753 = (70 + 5)3 = 703 + 3(702 x 5) + 3(70 x n2) + 53 = ? 2153= (210 + 5)3= 2103 + 3(2102 x 5) + 3(210... | |
 | Lorenzo Dow Harvey - Arithmetic - 1909 - 412 pages
...units, it follows that the cube of any number of two or more figures equals : The cube of the tens pins three times the square of the tens multiplied by the...the square of the units, plus the cube of the units. 753 = (70 + 5)3 = 703 + 3(702 x 5) + 3(70 x 52) + 53 = ? 2153= (210 + 5)3= 2103+3(2102 x 5) + 3(210... | |
 | George Soulé - Business mathematics - 1910 - 1042 pages
...times the cube of the tens, plus 300 times the square of the tens multiplied by the units, plus 30 times the tens multiplied by the square of the units, plus the cube of the units. We will now expand the number 54 to the third power, by the formula, and for convenience will arrange... | |
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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. 
