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" ... the product of the sum and difference of any two quantities, is equal to the difference of their squares. "
British Encyclopedia: Or, Dictionary of Arts and Sciences, Comprising an ... - Σελίδα 11
των William Nicholson - 1821
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Manual of Algebra

William Guy Peck - 1875 - 331 σελίδες
...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...

The Collegiate Algebra: Adapted to Colleges and Universities

James Bates Thomson, Elihu Thayer Quimby - 1880 - 346 σελίδες
...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....

Elementary Algebra for Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - 1885 - 358 σελίδες
...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...

Algebra for Beginners

Henry Sinclair Hall, Samual Ratcliffe Knight - 1895
...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...

Elementary Algebra

Henry Sinclair Hall, Samuel Ratcliffe Knight - 1895 - 478 σελίδες
...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...

Algebra: For High Schools and Colleges

Ellen Hayes - 1897 - 226 σελίδες
...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...

Algebra for Colleges and Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - 1897 - 516 σελίδες
...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...

Elements of Algebra

Henry Sinclair Hall - 1918
...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...

Report and Transactions - The Devonshire Association for the ..., Τόμος 16

Devonshire Association for the Advancement of Science, Literature and Art - 1884
...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...




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