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" The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and 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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Table Book and Test Problems in Mathematics

John Kelley Ellwood - Algebra - 1892 - 312 pages
...the first, plus the square of the second, plus twice the product of the two, or s2 = A2 + B. + 2p. The square of the difference of two quantities is equal to the square of the first, plus the square of the second, minus twice the product of the two, or d2 = A'2...
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Higher Arithmetic

John Henry Walsh - 1893 - 426 pages
...the square of the first + twice the product of the first and the second + the square of the second. The square of the difference of two quantities is equal to the square of the first — twice the product of the first and the second + the square of the second. (m...
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Elementary Algebra for the Use of Preparatory Schools

Charles Smith - Algebra - 1894 - 620 pages
...= a- — ab — ab + ir; Л (a -b)- = it- -'2 <ib + b-. Hence, the square of the difference of any two quantities is equal to the sum of their squares minus twice, their product. (iii.) (a + >) (a — ft) = aa + ba + <t(-b) + b(— b) = a2 + ob — ab — Ir ; . -. (a + b) (a...
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Elements of Algebra: A Course for Grammar Schools and Beginners in Public ...

William James Milne - Algebra - 1894 - 216 pages
...second term obtained ? The third term ? 2. What signs connect the terms of the power ? 61. PRINCIPLE. The square of the difference of two quantities is equal to the square of the first quantity, minus twice the product of the first and second, plus the square of the...
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Algebra for Beginners

Henry Sinclair Hall, Samual Ratcliffe Knight - 1895 - 214 pages
...sum of two quantities is equal to the sum of their squares increased by twice their product. Rule 2. The square of the difference of two quantities is equal to the sum of their squares diminished by twice their product. Example 1. (x + 2yf = af + 2 . x . 1y + (2y)2 Example 2. (2as-362)2=...
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Algebra for Schools and Colleges

William Freeland - Algebra - 1895 - 328 pages
...the product of the first by the second, plus the square of the second. II. (а-b)2 = а2That is : 63. The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second....
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Grammar-school Algebra: Seventy-five Suggestive Lessons for Beginners

William Milford Giffin - Algebra - 1895 - 136 pages
...353. 354. 355. 357. 358. 356. (2* -20* 360. 359. (3 a - 3 *)' 360a. Copy or read and fill the blanks: The square of the difference of two quantities is equal to the square of the minus twice the product of the by the plus the square of the MULTIPLICATION. LESSON XXXVI....
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Higher Arithmetic: Includes Easy Algebraic Equations and Simple Geometrical ...

John Henry Walsh - Arithmetic - 1895 - 400 pages
...the square of the first + twice the product of the first and the second -f- the square of the second. The square of the difference of two quantities is equal to the square of the first — twice the product of the first and the second + the square of the second. (a...
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Grammar-school Arithmetic: Including Easy Algebraic Equations and Simple ...

John Henry Walsh - Arithmetic - 1895 - 476 pages
...the square of the first -f- twice the product of the first and the second + the square of the second. The square of the difference of two quantities is equal to the square of the first — twice the product of the first and the second + the square of the second. (m...
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A Complete Algebra: For High Schools, Academies and Normal Schools

George Washington Hull - Algebra - 1895 - 358 pages
...(я?я + 2/3")2. 29. (А*4 5a)'. 10. (2c + Sei).1 63 20. (2x ! + Зж3)280. (m* + *)'. PRINCIPLE II. The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus: the square of the second....
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