| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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,... | |
| 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... | |
| 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,... | |
| 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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