 | William Guy Peck - 1875 - 348 pages
...first, minus twice the product of the first and second, plus the square of the second. 3°. The product of the sum and difference of any two quantities, is equal to the square of the first, minus the square of the second. The method of applying these principles is shown... | |
 | James Bates Thomson, Elihu Thayer Quimby - 1880 - 360 pages
...NOTATION. 96. To Translaie an Algebraic Statement from Common into Algebraic Language. i. The product of the sum and difference of any two quantities is equal to the difference of their squares. SOLUTION'. — In this translation, it is necessary first to assume letters to represent the quantities.... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - 1885 - 412 pages
...obtain the identity a result which may be verbally expressed as follows : The product of the sum and the difference of any two quantities is equal to the difference of their squares. Conversely, the difference of the squares of any two quantities is equal to the product of the sum... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - 1895 - 508 pages
...obtain the identity a result which may be verbally expressed as follows : The product of the sum and the difference of any two quantities is equal to the difference of their squares. Conversely, the difference of the squares of any two quantities is equal to the product of the sum... | |
 | Henry Sinclair Hall, Samual Ratcliffe Knight - 1895 - 214 pages
...the identity a result which may be verbally expressed as follows : The product of the sum and <Jie difference of any two quantities is equal to the difference of their squares. Conversely, the difference of the squares of any two quantities is equal to the product of the sum... | |
 | Ellen Hayes - 1897 - 244 pages
...ab + ( - 6) a + (- 6) b = a2 + ab — ab — ft2 = a2 - b2. That is, <fte product of the sum and the difference of any two quantities is equal to the difference of their squares. 32. The results in Arts. 29, 30, 31 afford good examples of truths, more or less general, expressed... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - 1897 - 552 pages
...ö)(«-ö) = a2-ö2, a, result which may be verbally expressed as follows : The product of the sum and the difference of any two quantities is equal to the difference of their squares. Conversely, the difference of the squares of any two quantities is equal to the product of the sum... | |
 | Henry Sinclair Hall - 1918 - 382 pages
...obtain the identity A result which may be verbally expressed as follows : The product of the sum and the difference of any two quantities is equal to the difference of their squares. Conversely, the difference of the squares of any two quantities is equal to the product of the sum... | |
 | Devonshire Association for the Advancement of Science, Literature and Art - 1884 - 858 pages
...complicated statements, of which the following would be comparatively simple examples : that the product of the sum and difference of any two quantities is equal to the difference of their squares ; or, in another sphere of thought, that perad venture for a righteous man some would even dare to die. As... | |
 | Saskatchewan. Department of Education - 1913 - 202 pages
...x'—9xy+2y'—3xz+2yz—z' take 3zJ — y'— z'+2xy— 3yz +4xy(6) Express algebraically the theorem that the product of the sum and difference of any two quantities is equal to the difference of their squares. (c) Use the theorem of (6) to find the product of 2a+36, 4a2+96', 2a— 36, and 16o4+8164. 3. Factor:... | |
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... the product of the sum and difference of any two quantities, is equal to the difference of their squares. 
