 | Webster Wells - Algebra - 1908 - 262 pages
...a*-2ab+b\ (2) That is, the square of the difference of two numbers equals the square of the first, minus twice the product of the first by the second, plus the square of the second. In the remainder of the work we shall use the expression " the difference between a and b " to denote... | |
 | Fletcher Durell, Edward Rutledge Robbins - Algebra - 1909 - 296 pages
...b\ which, stated in general language, is the rule — The square of the sum of two quantities equals the square of the first, plus twice the product of...first by the second, plus the square of the second. Ex. (2x + 3у)2 = 4>¿ + 12xy + 9у2, Product. Since the square oí 2x is 4x2, twice the product of... | |
 | Joseph Victor Collins - Algebra - 1910 - 332 pages
...have the square of the difference of two quantities (5 and Va;) equals the square of the first, minus twice the product of the first by the second, plus the square of the second. What axiom is used ?) 10Vx = 20. (The radical quantity put by itself on one side. Ax. ?) ^» = 2' (Dividing... | |
 | Joseph Victor Collins - Algebra - 1910 - 332 pages
...of two quantities divided by the difference of the quantities equals the square of the first, plus the product of the first by the second, plus the square of the second. Or, The difference of two cubes equals the difference of the quantities times the sum of the square... | |
 | Fletcher Durell - Algebra - 1912 - 300 pages
...b2, which, stated in general language, is the rule: The square of the sum of two quantities equals the square of the first, plus twice the product of...first by the second, plus the square of the second. Ex. 1. (2x + 3y)2 = 4X2 + 12xy + 9y2 Product Ex. 2. 1042 = (100 + 4)2 = 1002 + 8 X 100 + 42 = 10,000... | |
 | Frederick Howland Somerville - Algebra - 1913 - 458 pages
...multiplication. Three common cases are : respectively : 111. The square of the sum of two quantities equals the square of the first, plus twice the product of...first by the 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... | |
 | Joseph Victor Collins - Algebra - 1913 - 362 pages
...into words. I. (a + 6) 2 =a 2 + 2 ab + 6 2 . THEOREM. The square of the sum of two quantities equals the square of the first, plus twice the product of...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
...ordinary 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... | |
 | William Benjamin Fite - Algebra - 1913 - 368 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 а — b and a — b and formulate the... | |
 | Fletcher Durell - Algebra - 1914 - 606 pages
...b2, which, stated in general language, is the rule: The square of the sum of two quantities equals the square of the first, plus twice the product of...first by the second, plus the square of the second. Ex. 1. (2z + Зт/)2 = ear' + 12xy + 9г/2 Product Ex. 2. 1042 = (100 + 4)2 = 1002 + 8 X 100 + 42 =... | |
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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. 
