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" The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number. "
The Theory and Practice of Surveying: Containing All the Instructions ... - Página 24
por Robert Gibson - 1832 - 348 páginas
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Journal of the Institute of Actuaries, Volumen18

1875
...somewhat more complicated formula, such as (a + b)2=a? + 2ab + b2, which would be thus stated in words : " The square of the sum of two numbers is equal to the sum of their squares increased by twice the product of the numbers", the advantage is more decidedly...
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Elementary algebra, with brief notices of its history

Robert Potts - 1879
...the first and second have this connection : (а+Ьу = (а-Ь)>+4аЬ, (e-î)l = (e+J)1-4ei; that is, The square of the sum of two numbers, is equal to the sum of tho square of the difference and four times the product of the two numbers. Tho square of the...
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Elementary algebra: with brief notices of its history

Robert Potts - 1879
...And the first and second have this connection : (a+J)2 = (e_i)»+4ei, (ei)' = (e+i)I-4ei; that ie, The square of the sum of two numbers, is equal to the sum of the square of the difference and four times the product of the two numbers. The square of the...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - 1879 - 608 páginas
...b' The first example gives the value of (a + £>) (a + 6), that is, of (a + b)' ; we thus find Thus the square of the sum of two numbers is equal to the sum of the squares of the two numbers increased by twice t/ieir product. Again we have Thus the square...
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A treatise on arithmetic. [With] Key, Volumen1

James Thomson - 1880
...as many decimal figures are obtained as the degree of accuracy necessary in the result may require. The principle on which the preceding rule depends,...the square of the sum of two numbers is equal to the sum of the squares of the numbers added to twice their product. Thus, 34 being = 30 + 4, its square...
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Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic

Joseph Ray - 1880 - 408 páginas
...602+60X4 4096= = 3600 + 480+16. The operations illustrate the following principle : PRINCIPLE. — The square of the sum of two numbers is equal to the square of Hie first, plus twice the product of the first by the second, plus tiie square of the second....
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Elements of Algebra

George Albert Wentworth - 1881 - 380 páginas
...three which follow are of great importance: From (1) we have (a + bf = a? + 2ab + b2. That is, 74. The square of the sum of two numbers is equal to the sum of their squares + twice their product. From (2) we have (a — 6)2 = a' — 2 ab + 62. That is,...
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Principles of Arithmetic

Homersham Cox (the younger) - 1885 - 220 páginas
...added units. We shall soon require the following important theorem relating to the squares of numbers. The square of the sum of two numbers is equal to the sum of the squares of the number together with twice the product of the numbers. For instance 1 1 is...
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Shorter Course in Algebra

George Albert Wentworth - 1886 - 165 páginas
...follow are of great importance : Ь' à2 - Ь2 From (1) we have (a + ¿)2 = a2 + 2ab + V. That is, 74. The square of the sum of two numbers is equal to the sum of their squares + twice their product. From (2) we have (a - ¿)2 = a2 — 2 ab + b\ That is,...
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College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - 1888 - 540 páginas
...a + 6 we get (« + 6) (a + 6) = «2 + 2a6 + 62 ; that is (a + 6)2 = a2 + 2«6 + 62. . . . (1) Thus the square of the sum of two numbers is equal to the sum of the squares of the two numbers increased by twice their product. Similarly, if we multiply a...
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