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" That is, the cube of the sum of two quantities is equal to the cube of the first, plus three times the square of the first... "
Higher Arithmetic: Designed for the Use of High Schools, Academies, and ... - Page 323
by George Roberts Perkins - 1849 - 342 pages
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Elements of Arithmetic and Algebra: For the Use of the Royal Military College

William Scott - Algebra - 1844 - 568 pages
...expression, plus three times the square of the first term into the second, plus three times the first term into the square of the second, plus the cube of the second term, plus three times the square of the sum of the first mid second terms into the third, plus three...
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An Elemtary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - Arithmetic - 1849 - 346 pages
...times the product of the square of the first number into the second, plus three times the product of the first into the square of the second, plus the cube of the second. If we wish the cube of the sum of three numbers. as 6+8+9, we may unite the first and second by means...
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An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - Arithmetic - 1850 - 364 pages
...times the product of the square of the first number into the second, plus three times the product of the first into the square of the second, plus the cube of the second. If we wish the cube of the sum of three numbers, as 6 + 8+9, we may unite the first and second by means...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - Arithmetic - 1850 - 356 pages
...times the product of the square of the first number into the second, plus three times the product of the first into the square of the second, plus the cube of the second. If we wish the cube of the sura of three numbers, as 6 + 8 + 9, we may unite the first and second by...
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An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - Arithmetic - 1851 - 356 pages
...times the product of the square of the first number into the second, plus three times the product of the first into the square of the second, plus the cube of the second. (6+8)+9, and regarding (6+8) as one number, we find, according to the foregoing statement, that the...
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A treatise on the elements of algebra, by G. Ainsworth and J. Yeats

G. Ainsworth - 1854 - 216 pages
...the square of the first term multiplied into the second, plus three times the first term muliiplied into the square of the second, plus the cube of the second term. Now, we find these quantities contained in the above remainder; hence we place 6 as the second...
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An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - Arithmetic - 1855 - 388 pages
...times the product of the square of the first number into the second, plus three times the product of the first into the square of the second, plus the cube of the second. If we wish the cube of the sum of three numbers, as 6+8+9, we may unite the first and second by means...
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Elements of Algebra: For Colleges, Schools, and Private Students, Book 2

Joseph Ray - Algebra - 1866 - 420 pages
...cube of the first term, plus three times the square of the first into the second, plus three limes the first into the square of the second, plus the cube of the second. If the quantity is a residual, as a — &, the result will be the same, except that the signs will...
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The Inter Ocean Curiosity Shop for the Year ...

Encyclopedias and dictionaries - 1891 - 184 pages
...first, plus three times the square of the first multiplied by the second, plus three times the first by the square of the second, plus the cube of the second. The significance of the long arithmetical rule, when thus analyzed, becomes very plain, and, indeed, this...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 370 pages
...first, plus three times the square of the first times the second, plus three times the first times the square of the second, plus the cube of the second. The cube of the difference of two quantities is equal to the cube of the first, minus three times the square...
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