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" On 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... "
New Practical Arithmetic - Page 374
by Eugene L. Dubbs - 1901 - 440 pages
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 326 pages
...there remains 39, which, with the remaining portion 823, gives 39823; and this result contains still three times the square of the tens multiplied by the units, plus the two other parts above named. Now the square of a number of tens containing no figure inferior to...
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Elements of Algebra

Algebra - 1838 - 372 pages
...and units. Denoting the tens by a, and the units 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...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...(45)'= 64000 + 24000 + 3000+ 125=91 125 283. On 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,...
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Elements of Arithmetic: For Schools and Academies. In which Decimal and ...

Pliny Earle Chase - Arithmetic - 1844 - 246 pages
...left by No. 2, and No. 4 in the corner still unfilled, we shall have a new cube, which will represent THE CUBE OF THE TENS, plus THREE TIMES THE SQUARE...TENS MULTIPLIED BY THE UNITS, plus THREE TIMES THE SQUARE OF THE UNITS MULTIPLIED BY THE TENS, plus THE CUBE OF THE TStiS, '<y^/v^_A,J This set of blocks...
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The Elements of Arithmetic ... in which Decimal and Integral Arithmetic are ...

Pliny Earle Chase - 1844 - 258 pages
...left by No. 2, and No. 4 in the corner still unfilled, we shall have a new cube, which will represent THE CUBE OF THE TENS, plus THREE TIMES THE SQUARE...TENS MULTIPLIED BY THE UNITS, plus THREE TIMES THE SQUARE OF THE UNITS MULTIPLIED BY THE TENS, plui THE CUBE OF THE TENS. This set of blocks is readily...
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Smith and Duke's The American Statistical Arithmetic: Designed for Academies ...

Francis Henney Smith - Arithmetic - 1845 - 300 pages
...every other such number, we conclude, that the cube of a number composed of tens and writs contains the cube of the tens, plus three times the square...tens multiplied by the units, plus three times the square of the units multiplied by the tens, plus the cube of the units. Thus, the cube of 25 is as...
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The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - Arithmetic - 1845 - 710 pages
...every other such number, we conclude, that the cube of a number composed of tens and units contains the cube of the tens, plus three times the square...tens multiplied by the units, plus three times the square of the units multiplied by the tens, plus the cube of the units. Thus, the cube of 25 is as...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...(45)2=64000 + 24000+3000+125 = 91125 283. On 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,...
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - Arithmetic - 1851 - 280 pages
...3000=3 (40 X 52). 125=(53). It is obvious that the cube of any number, of more than one figure, is the cube of the tens , plus three times the square of the tens, multiplied by the units, phis three times the tens, multiplied by the square of the units , plus the cube of the units. 1; What...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...(t-\-u)3— the cube of the number. Hence, the cube of any number consisting of tens and units, it equal to the cube of the tens, — plus three times the square of the tens, plus three limes the product of the tens and units, plus the square of the units, all three multiplied...
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