 ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, 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...  Algebra for Secondary Schools - Page 51by Webster Wells - 1906 - 513 pagesFull view - About this book
 | Frederick Howland Somerville - Algebra - 1913 - 458 pages
...second, plus the square of the second. 112. The square of the difference of two quantities equals the square of the first, minus twice the product of the...first by the second, plus the square of the second. 113. The product of the sum and difference of two quantities equals the difference of their squares.... | |
 | Joseph Victor Collins - Algebra - 1913 - 362 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... | |
 | 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... | |
 | Fletcher Durell - 1914 - 458 pages
...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 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... | |
 | 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... | |
 | Fletcher Durell - Algebra - 1914 - 606 pages
...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.... | |
 | Fletcher Durell - Algebra - 1914 - 404 pages
...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.... | |
 | Ernest McCullough - Surveying - 1915 - 468 pages
...a +b a +b + ab + V. a* + 2ab + b2 2. 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. Example. — (a - b)2 = a2 - 2 ab + b2. a -b a — b a2 — ab -ab + b* 2 Example. — (a + b) (a -... | |
 | Fletcher Durell - Algebra - 1916 - 606 pages
...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 the second, plus the square of the second. Ex. 1. (2z - Зт/)2 = 4z2 - 12xy + Qy2 Product Ex. 2. [(x + 2y)-5]2 = (a- + 2y?- Щх + 2y) + 25 =... | |
 | William Herschel Bruce - Education - 1916 - 316 pages
...numbers whatever, therefore, the square of the sum of any two numbers is the square of the first plus twice the product of the first by the second plus the square of the second. Similarly (a + &; « = a8 + 3 a2 b + 3 a&8 + &» may be translated for any two numbers whatever. This... | |
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