 | Webster Wells - Algebra - 1897 - 422 pages
...Let it be required to square a + b. a + b a + b a? + ab ab + b¿ Whence, (a + &)2 = a2 + 2 ab + b2. That is, the square of the sum of two quantities is...square of the first, plus twice the product of the two, plus the square of the second. Example. Square 3а + 2 bс. We have, (3 a + 2 &c)2 = (3 a)2 +... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1897 - 548 pages
...(а + 6)(а+6) = а2 + 2а& + &2 . . (1), (а-&)2 = (а-&)(а-о) = а2-2а& + &2 . . (2). Rule I. The square of the sum of two quantities is equal to the sum of their squares increased by twice their product. Rule II. The square of the difference of two... | |
 | W. H. F. Henry - Questions and answers - 1899 - 440 pages
...16. Repeat the three algebraic formulas for obtaining the products of certain binomial factors. (1) The square of the sum of two quantities is equal to...first, plus twice the product of the first by the secondi plus the square of the second. Thus, (a + 6)* = (a + 6) (a + 6) =• of + 2a6 + b1. (2) The... | |
 | John Henry Walsh - Arithmetic - 1899 - 260 pages
...consecutive numbers is 49. What are the numbers? AFFECTED QUADRATICS. 1238. Preliminary Exorcises. The square of the sum of two quantities is equal to the square of the first + twice the product of the first and the second + the square of the second. The square of the difference... | |
 | William J. Milne - Algebra - 1899 - 172 pages
...? How is the second term obtained ? The third term ? 2. What signs have the terms ? 59. PRINCIPLE. The square of the sum of two quantities is equal to the square of the first quantity, plus twice the product of the first and second, plus the square of the second. Write out... | |
 | Frank Castle - Mathematics - 1899 - 424 pages
...true when any other letters are used instead of a and b. Hence we can write with equal correctness Or, The square of the sum of two quantities is equal to the sum of the squares of the quantities increased by twice their product. Similarly, The square of the... | |
 | George Edward Atwood - 1900 - 276 pages
...product of the two, plus the square of the second. Hence the following principle : 86. PRINCIPLE. — The square of the sum of two quantities is equal to...square of the first, plus twice the product of the two, plus the square of the second. 87. SECOND FORMULA. — (a — 6)2 = a2 — 2 ab + b2. Since a... | |
 | Analytical chemistry - 1900 - 532 pages
...products: (a + 6Y, (a -b)\ and (a + b)(ab). By actual multiplication we find (1.) (2.) (3.) Hence : 66. The square of the sum of two quantities is equal to the square of the first, plus twice thc product of the first and the second, plus the square of the second. The square of the difference... | |
 | Frank Castle - Mathematics - 1900 - 200 pages
...frequently and are of such great importance that they should be carefully remembered : (1) (2) Or, The square of the sum of two quantities is equal to the sum of the squares of the quantities increased by twice their product. Similarly, The square of the... | |
 | John Appley Ferrell - History - 1901 - 448 pages
...examples are illustrative of the following principle : PRINCIPLE : The square of the sum of two numbers is equal to the square of the first plus twice the product of the first times the second plus the square of the second. By referring to the two numbers as 1st and 2d, this... | |
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The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second. 
