 By multiplying a + b by а — b we obtain the identity (a + 6)(a-6)=a2-62, 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,...  A Treatise on Algebra - Page 82by Benedict Sestini - 1857 - 216 pagesFull view - About this book
 | George Baron - Mathematics - 1804 - 318 pages
...The sum of the squares of any two quantities is greater than twice their product. 5thly. The cube of the difference of any two quantities is equal to the difference of their cubes diminished by the quantity which arises by multiplying their difference into three times... | |
 | James Mackean - 1881 - 510 pages
...а2+ ab - ab -V2 a2 -62 Л (a + 6)(а- 6) = a2 -62. That is, the product of the sum and difference of two quantities is equal to the difference of the squares of the quantities. IV. Multiply a2 - o6 + 62 by a + b. a? -ab +62 a +b +63 That is, if the sum of the squares... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 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... | |
 | 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... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1895 - 212 pages
...(a + 6)(a-6)=a2-62, 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... | |
 | 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... | |
 | 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,... | |
 | 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... | |
| |
