| William James Milne - Algebra - 1894 - 216 pages
...? How is the 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... | |
| William Frothingham Bradbury, Grenville C. Emery - Algebra - 1894 - 166 pages
...+ b* a' + 2 ab + b* From this we deduce the following THEOREM. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the two, plus the square of the second. According to this theorem find the square of 1. x + y. 8. 3x +... | |
| George Washington Hull - Algebra - 1895 - 358 pages
...86. A Composite Quantity is the product of two or more quantities. PRINCIPLE I. The square of the mm 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. Thus, by multiplication, a + b a + b a1 + ab + ab + b' a1... | |
| John Henry Walsh - Arithmetic - 1895 - 400 pages
...consecutive numbers is 49. What are the numbers? AFFECTED QUADRATICS. 1238. Preliminary Exercises. 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 -f- the square of the second. The square of the difference... | |
| John Henry Walsh - Arithmetic - 1895 - 476 pages
...consecutive numbers is 49. What are the numbers? AFFECTED QUADRATICS. 1238. Preliminary Exercises. The square of the sum of two quantities is equal to the square of the first -f- twice the product of the first and the second + the square of the second. The square of the difference... | |
| William Milford Giffin - Algebra - 1895 - 152 pages
...' 339. 340. 341. 342. 343. 344. (4* + 3j)* (5*+5j)* (ab+bc)* 345. Copy or read and fill the blanks: The square of the sum of two quantities is equal to the square of the _ , plus twice the product of the _ by the _ plus the square of the LESSON XXXV. 346. What is the perimeter... | |
| Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1895 - 508 pages
...172. By multiplication we have (1), (tz-i)2=(a-¿)(ab) = а2-2а6 + й2. ............... (2). RULE 1. The square of the sum of two quantities is equal to the sum of their squares increased by twice their product. 1. 5. ЗаЬ3. 4а465лЛ 2. в. Ч'1!'. бл^у6.... | |
| Henry Sinclair Hall, Samual Ratcliffe Knight - 1895 - 214 pages
...multiplication we have (a + b) (1). These formulae may be enunciated verbally as follows : Rule 1. The square of the sum of two quantities is equal to the sum of their squares increased by twice their product. Rule 2. The square of the difference of two... | |
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