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" The square of the sum of two quantities is equal to the square nf the first, plus twice the product of the first by the second, plus the square of the second. "
The first principles of algebra, for the use of the boys of the Royal ... - Page 23
by Admiralty - 1845
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...operations, the results which follow: I. (a+b)'=(a+u) (a+b')=a>+2ab+bt Or, expressing the result in words, The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second....
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...following theorems give rise to formulas, useful in abridging algebraic operations. THEOREM I. 76 ( The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second....
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Illinois Teacher: Devoted to Education, Science and Free Schools, Volume 12

Education - 1866 - 538 pages
...li^ht them on their way." After careful thought and research, we come fully to comprehend the truth that •' the square of the sum of two quantities is equal to the square of the first, plus twice the product of the two, plus the square of the second" ; and when the...
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Primary Elements of Algebra: For Common Schools and Academies

Joseph Ray - Algebra - 1866 - 250 pages
...a2+2a6-j-62. Thus: a+6 a+6 a2+2a6-|-62 But a+6 is the sum of the quantities, a and 6. Hence, Theorem I. — The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second....
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Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - Algebra - 1868 - 270 pages
...x" -j- 3 y and difference 5 x2 — 3y. 6. Sum 2 a — 8b and difference 10 a + 1* b. THEOREM II. 58. The square of the sum of two quantities is equal to the square of the first, plus twice the product of the two, plus the square of the second. Let a and 6...
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Elements of algebra

Robert Wallace - 1870 - 164 pages
...following theorem for finding the square of the sum of a,ny two quantities is deduced. THEOREM I. — The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second....
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Elements of Algebra

James Haddon - Algebra - 1871 - 244 pages
...b) = a- — 2a + Ir ; and (а + Ъ)(а — Ь) =* — b'-. From this example it appears that 1. The square of the sum of two quantities is equal to the и.' of their squares, together with twice their product. 2. The square of the difference of two...
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Elements of Algebra: For Colleges, Schools and Private Students

Joseph Ray - Algebra - 1866 - 420 pages
...truths. The following theorems serve to show some of its most simple applications. 78. Theorem I. — The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second....
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An Elementary Algebra

Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...each spout run, the time occupied by both being 10 minutes ? (Articles 103-209.) 398. — Ex. 1. Show that the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second....
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A University Algebra ...

Edward Olney - Algebra - 1873 - 354 pages
...partial products as they stand, even without first adding the products by a and ft. QBD 85. THEO. — The square of the sum of two quantities is equal to the square of the first, plus twice the product of the two, plus the square of the second. 86. THEO. —...
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