 | John Henry Walsh - Arithmetic - 1899 - 260 pages
...numbers is 49. What are the numbers? AFFECTED QUADRATICS. 1238. Preliminary Exorcises. The square of the sum 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. The square of the difference... | |
 | George W. Evans - Algebra - 1899 - 458 pages
...tf.) 2. The square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two, plus the square of the second. 3. The square of any polynomial is equal to the sum of the squares of the separate terms, added to... | |
 | William J. Milne - Algebra - 1899 - 172 pages
...second term obtained ? The third term ? 2. What signs have the terms ? 59. PRINCIPLE. The square of the sum of two quantities is equal to the square of the first quantity, plus twice the product of the first and second, plus the square of the second. Write out... | |
 | George Edward Atwood - 1900 - 276 pages
...plus the square of the second. Hence the following principle : 86. PRINCIPLE. — The square of the sum of two quantities is equal to the square of the...product of the two, plus the square of the second. 87. SECOND FORMULA. — (a — 6)2 = a2 — 2 ab + b2. Since a represents any quantity and 6 any less... | |
 | Analytical chemistry - 1900 - 532 pages
...-b)\ and (a + b)(ab). By actual multiplication we find (1.) (2.) (3.) Hence : 66. The square of the sum of two quantities is equal to the square of the first, plus twice thc product of the first and the second, plus the square of the second. The square of the difference... | |
 | John Appley Ferrell - History - 1901 - 448 pages
...examples are illustrative of the following principle : PRINCIPLE : The square of the sum of two numbers is equal to the square of the first plus twice the product of the first times the second plus the square of the second. By referring to the two numbers as 1st and 2d,... | |
 | Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...SPECIAL THEOREMS AND SYMMETRY THEOREMS AND DETACHED COEFFICIENTS 164. Theorem 1. The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second. Dem. Let x + a be the sum of two quantities, then... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 426 pages
...the product of a and 6, and 6' the square of b, hence we may say that : The square of the sum oftuio quantities is equal to the square of the first, plus...product of the two, plus the square of the second. In the second case we have (a — б) = a' — 2ab + b', which relation may be stated thus : The square... | |
 | John Henry Walsh - Algebra - 1903 - 528 pages
...squares of ж and у, respectively, and that 2 жу is twice the product of ж and y. The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second. Any expression in the form of ж 2 + 2 xy + y... | |
 | John Henry Walsh - Algebra - 1903 - 288 pages
...the squares of x and y, respectively, and that 2xy is twice the product of x and y. The square of the sum of two quantities is equal to the square of the first, plus ticice the product of the first and the second, plus the square of the second. Any expression in the... | |
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The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second. 
