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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 by the second, plus the square of the second. "
New Elementary Algebra: Designed for the Use of High Schools and Academies - Page 54
by Benjamin Greenleaf - 1879 - 309 pages
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Essentials of Algebra

Webster Wells - 1897 - 422 pages
...square a — b. a — b a — b a2 — ab - ab + bг Whence, (a - &)2 = a2 - 2 a& + Ь2. That is, the square of the difference of two quantities is equal...square of the first, minus twice the product of the two, plus the square of the second. Example. Square 4 x — 5. 80. Let it be required to multiply a...
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 388 pages
...required to square а — b. ab a — b a2 — ab - ab + b2 Whence, (a -b)i = a?-2ab + b2. That is, the square of the difference of two quantities is equal...square of the first, minus twice the product of the two, plus the square of the second. Example. Square 4 x — 5. Wehave, (4x - 5)2 =(4 ж)3 - 2 x ix...
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 378 pages
...to square a — 6. a — b a — b a2— ab - ab + b2 Whence, (a - b)2 = a2 - 2 ab + b\ That is, the square of the difference of two quantities is equal...square of the first, minus twice the product of the two, plus the square of the second. Example. Square 4 ж — 5. 80. Let it be required to multiply...
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 448 pages
...b. a — b a — b a2— ab -ab + b2 Whence, (a - b)2 = a2 - 2 a& + b1. That is, the square oftJie difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second. Example. Square 4 x — 5. 80. Let it be required to multiply a...
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A School Algebra Complete

Fletcher Durell, Edward Rutledge Robbins - Algebra - 1897 - 478 pages
...language, is the rule— The square of the sum of two quantities equals the square of the first, plus twice the product of the first by the second-, plus the -square of the second. Ex. (2z + ЗуУ = 4з? + 2xy + Qf, Product. Since the square of 2x is 4z2, twice the product of...
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Transactions of the National Eclectic Medical Association of the ..., Volume 24

National Eclectic Medical Association of the United States of America - 1897 - 382 pages
...algebra, the square of the sum- of two quantities is exactly equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. In geometry, the square of the hypothenuse of a right-angled triangle exactly equals the sum of the...
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The Elements of Mechanical Engineering, Volume 1

Electrical engineering - 1897 - 672 pages
...plus the square of the second. 429. Also, that The square of the difference of two quantities equals the square of the first, minus twice the product of the first by the second, phis the square of the second. 430. The-third example is: 3. To find the product of the sum and difference...
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New High School Question Book: Embracing the Studies Usually Pursued in High ...

W. H. F. Henry - Questions and answers - 1899 - 440 pages
...secondi plus the square of the second. Thus, (a + 6)* = (a + 6) (a + 6) =• of + 2a6 + b1. (2) The square of the difference of two quantities is equal...of the first, minus twice the product of the first and second, plus the square of the second. Thus, (a — 6)* = (a — b) (a — 6)=a2— 2a6 + 6'. (3)...
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Arithmetic, algebra, logarithms, geometry and trigonometry, elementary ...

International Correspondence Schools - Civil engineering - 1899 - 722 pages
...square of the second. 429. Also, that The square of the difference of two quantities equals the tquare of the first, minus twice the product of the first by the second, plus the square of the second. 430. The third, example is: 3. To find the product of the sum and difference of two quantities. By...
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Grammar School Algebra: A Course for Grammar Schools and Beginners in Public ...

William J. Milne - Algebra - 1899 - 172 pages
...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 second. Write out...
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