 ... 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...  Secondary-school Mathematics - Page 122by Robert Louis Short, William Harris Elson - 1910Full view - About this book
 | Analytical chemistry - 1900 - 532 pages
...first and the second, plus the square of the second. The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and the second, plus the square of the second. The product of the sum and difference of two quantities... | |
 | George Edward Atwood - 1900 - 276 pages
...second. Hence the following principle : 88. PRINCIPLE. — The square of the 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. 89. THIRD FORMULA. — (a + 6)(a - 6) = a2 — 62. Since a represents... | |
 | John Appley Ferrell - History - 1901 - 448 pages
...)? Process : ab ab -db+V a2 -ab a?-2ab + b2, result. PRINCIPLE: 1. The square of the difference of two numbers is equal to the square of the first minus twice the product of the first times the second plus the square of the second. (Commit.) NOTE. — Compare this principle with the... | |
 | Edward Brooks - Algebra - 1901 - 248 pages
...+ 6s)'. _ 21. (a" + ' + &n + 1)'. THEOREM II. 27ie sgwwe of the difference of two quantities equals the square of the first, minus twice the product of the first and second, plug the square of tlte second. , ,. OPERATION. Let a — o represent the difference of two quantities;... | |
 | International Correspondence Schools - Arithmetic - 1902 - 794 pages
...first and the second, plus the square of tke second. The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and the second, plus the square of the second. T/tc product of the sum and difference of two quantities... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 426 pages
...a' — 2ab + b', which relation may be stated thus : The square of the 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. In the third case we have (a -f- 6) (a — b) = a' — b», or... | |
 | Arthur William Potter - Algebra - 1904 - 182 pages
...compare ? Deduce the following principle : PRINCIPLE. 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. Write out the following results without multiplying. If... | |
 | Webster Wells - Algebra - 1904 - 642 pages
...first by the second, plug the square of the second. The square of the difference of two numbers equals the square of the first, minus twice the product of the first bij the second, jilits the square of the second. In the remainder of the book, we shall, for the sake... | |
 | Arthur Schultze - 1905 - 396 pages
...product of the first and the second, plus the square of the second. II. The square of the difference of two numbers is equal to the square of the first, minus twice the product of the first and the second, plus the square of the second. III. The product of the sum and the difference of two numbers... | |
 | Arthur Schultze - Algebra - 1905 - 468 pages
...the J square of the second. II. The square of the difference of two numbers is equal to the Л '?' square of the first, minus twice the product of the first and second, 1 plus the square of the second. III. The product of the sum and difference of two numbers is J .,... | |
| |
