 | Charles Smith - Algebra - 1888 - 680 pages
...III. (a + 6) (a - 6) = aa + a (- 6) + 6a -f 6 (- 6) = a2-a6 + a6-62; .'. (a + 6) (a-6)=a2-62. Thus, the product of the sum and difference of any two quantities is equal to the difference of their squares. 57. It is usual to exhibit the process of multiplication in the following convenient form : a" - 2ab... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 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 - Algebra - 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 - Algebra - 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... | |
 | Saskatchewan. Department of Education - Education - 1913 - 202 pages
...8x'—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. 
