 | 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... | |
 | Adelia Roberts Hornbrook - Geometry - 1895 - 222 pages
...there in the rectangle DGHE? How many in all ? PRINCIPLE 51. — The square of the sum of two lines is equal to the square of the first plus twice the product of the first by the second plus the square of the second. 29. Draw the square of the sum of two lines, one 5 inches,... | |
 | 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
...By 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 - 386 pages
...Let it be required to square a + b. a + b а + b ab + b* Whence, (а + b)s = a2 + 2 ab + b2. That is, the square of the sum of two quantities is equal to...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, (За + 2 bc)2 =(3a)2 + 2... | |
 | Webster Wells - Algebra - 1897 - 422 pages
...required to square a + b. a + b a + b a? + ab ab + b¿ Whence, (a + &)2 = a2 + 2 ab + b2. That is, the square of the sum of two quantities is equal to...square of the first, plus twice the product of the two, plus the square of the second. Example. Square 3а + 2 bс. We have, (3 a + 2 &c)2 = (3 a)2 +... | |
 | Webster Wells - Algebra - 1904 - 384 pages
...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 equal to...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... | |
 | National Eclectic Medical Association of the United States of America - 1897 - 382 pages
...times, as expressed by the multiplier. In algebra, the square of the sum- of two quantities is exactly equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. In geometry, the square of the hypothenuse of a right-angled... | |
| |
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. 
