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" The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second. "
The Normal Elementary Algebra: Containing the First Principles of the ... - Page 55
by Edward Brooks - 1888 - 154 pages
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...principles, (a+by=(a+b) (a+b)=a3+'2ab+b3. That is, the square of the sum of two quantities is composed of the square of the first, plus twice the product of the first by the second, plus the square of the second. Thus, to form the square of 5a3+8a3i, we have, from what...
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The British Cyclopaedia of the Arts, Sciences, History, Geography ...

Charles Frederick Partington - Encyclopedias and dictionaries - 1838 - 1116 pages
...the first by the square of the second, plua the cube of the second ; nor is their cube made up of Me square of the first, plus twice the product of the first and second, plus the sqiuire of the second. Unless, therefore, we can discover some general principle which regulates the...
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Elements of Algebra

Algebra - 1838 - 372 pages
...(a+*)- We have, from known principles, That is, 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. Thus, to form the square of 5a"-\-8a2b, we have, from...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 272 pages
...principles, (a+b)2=(a+b) (a+b)=a? + 2ab+b\ That is, 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. 1. Form the square of 2a+36. We have from the rule (2a...
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Elements of algebra

William Foster - 1840 - 92 pages
...ba + b a+b a—ba — b aï+ab a8 — ab —аЬ—Р a'+2aó+6* o'— 2a6+6* a* * —6' Hence 1 . The square of the sum of two quantities equals the...square of the first, plus twice the product of the quantities, plus the square of the second. 2. The square of the difference of two quantities equals...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...(a-\-b). We have, from known principles, That is, 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. 1. Form the square of 2a+36. We have from the rule (2a...
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...principles, (a + b)2=(a+b) (a+i)=a 2 +2ai+i 2 . That is, 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. Thus, to form the square of 5o 2 +8a 2 i, we have, from...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...demonstration of the following theorems. 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. Let a denote one of the quantities and l1 the other:...
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An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension ...

Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...product is a2+2a6-}-62; from which it appears, 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. 17. Multiply a — b by a — b. The product is a2 —...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 542 pages
...square of the sum of two numbers or quantities is equal to the square of the first of the two quantities plus twice the product of the first and second, plus the square of the second. 2. That the product of the stun and difference is equal to the difference of the squares ; and, 3....
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