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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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Advanced Algebra

Joseph Victor Collins - Algebra - 1913 - 360 pages
...2 ab + 6 2 . THEOREM. 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. a. The student should point to the corresponding symbols in the formulas of this article as he saya...
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First Course in Algebra

William Benjamin Fite - Algebra - 1913 - 304 pages
...language as follows : The square of the sum of two terms is equal to the square of the first term plus twice the product of the first by the second, plus the square of the second term. In a similar way the student should form the product of a — b and a — b and formulate the...
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A High School Algebra, Part 1

Jacob William Albert Young, Lambert Lincoln Jackson - Algebra - 1913 - 312 pages
...second. 142. Type IV: (x -/)2 = x2 - 2 xy +/. In words : The square of the difference of two numbers is the square of the first, minus twice the product of the first and the second, plus the square of the second. For example : (a + iг2)2 = a2 + 2 ab2 + Ь4. (2a- Ь)2...
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Durell's Algebra: Two Book Course. Book One, Book 1

Fletcher Durell - 1914 - 458 pages
...which, stated in general language, is the rule: The square of the difference of two quantities equals the square of the first, minus twice the product of...first by the second, plus the square of the second. Ex. 1. (2x - 3т/)2 = 4z2 - 12xy + Qy2 Product Ex. 2. [(z + 2y) -5]2 = (a- + 2y)2- 10(x + 2y) + 25...
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Durell's Algebra, Book 1

Fletcher Durell - 1914 - 462 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. 1. (2x + 3y)2 = 4z2 + 12xy + Qy2 Product Ex. 2. 1042 = (100 + 4)2 = 1092 + 8 X 100 + 42 = 10,000...
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Durell's School Algebra

Fletcher Durell - Algebra - 1914 - 606 pages
...which, stated in general language, is the rule: The square of the difference of two quantities equals the square of the first, minus twice the product of the first by tlie second, plus the square of the second. Ex. 1. (2x - Зг/)2 = 4a;2 - \2xy + Qy2 Product Ex. 2....
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Durell's Algebra: Two Book Course. Book One

Fletcher Durell - Algebra - 1914 - 404 pages
...which, stated in general language, is the rule: The square of the difference of two quantities equals the square of the first, minus twice the product of the first by ilie second, plus the square of the second. Ex. 1. (2x - 3г/)2 = 4z2 - 12xy + 9î/2 Product Ex. 2....
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Practical Surveying for Surveyors' Assistants, Vocational, and High Schools

Ernest McCullough - Surveying - 1915 - 468 pages
...second, plus the square of the second. Example. — (a + b)2 = a2 + 2 ab + b2. a +b a +b ab 2. The square of the difference of two quantities is equal...first by the second, plus the square of the second. Example. — (a - b)2 = o? - 2 ab + b2. a — b a — b a* -ab 3. The product of the sum and difference...
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Elementary Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 402 pages
...•«/.•<.• (a — o)2 = a2 — 2 ao + o2. That is, the square of the difference of two numbers is equal to the square of the first, minus twice the product of the two numbers, plus the square of the second. Example. By means of this formula, find the square of «...
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Elementary Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 412 pages
...difference of two numbers: (fl _ 6)2 = a2 - 2 a6 + 62. That is, the square of the difference of two numbers is equal to the square of the first, minus twice the product of the two numbers, plus the square of the second. Example. By means of this formula, find the square of a...
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