 | 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... | |
 | Emerson Elbridge White - Algebra - 1896 - 418 pages
...Since a and b in (1) represent any two numbers, it follows that The square of the sum of two numbers is the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second. Write by Formula (1) the square of 1. x +... | |
 | Webster Wells - Algebra - 1897 - 434 pages
...DIVISION. 78. Let it be required to square a + b. a + b a? + ab Whence, (a + b)2 = a2 + 2 ab + b2. That is, the square of the sum of two quantities is...square of the first, plus- twice the product of the two, plus the square of the second. Example. Square 3 a + 2 be. We have, (3 a + 2 6c)2 = (3 a)2 + 2... | |
 | Webster Wells - Algebra - 1904 - 384 pages
...DIVISION. 78. Let it be required to square a + b. a + b a + b a? + ab Whence, (a + 6)2 = a2 + 2 ab + b2. That is, the square of the sum of two quantities is...square of the first, plus twice the product of the two, plus the square of the second. Example. Square 3 a + 2 be. We have, (3а + 2 6c)2 =(3o)2 + 2 x... | |
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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 and second, plus the square of the second. 
