 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 - Side 82av Benedict Sestini - 1857 - 216 siderUten tilgangsbegrensning - Om denne boken
 | George Baron - 1804 - 318 sider
...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 sider
...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 - 1885 - 412 sider
...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 - 1895 - 508 sider
...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 - 1895 - 212 sider
...(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 - 1897 - 552 sider
...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 - 1897 - 244 sider
...+ 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 sider
...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... | |
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