 The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.  Workshop Mathematics - Page 111by Frank Castle - 1900Full view - About this book
 | Frank Castle - Mathematics - 1899 - 424 pages
...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...difference of two quantities is equal to the sum of the squares of the quantities diminished by twice their product. By multiplying (x + y)(xy) we obtain x2-y2.... | |
 | William J. Milne - Algebra - 1899 - 172 pages
...second term obtained ? The third term ? 2. What signs connect the terms of the power ? 61. PRINCIPLE. The square of the difference of two quantities is equal to the square of the first quantity, minus twice the product of the first and second, plus the square of the... | |
 | W. H. F. Henry - Questions and answers - 1899 - 440 pages
...the secondi plus the square of the second. Thus, (a + 6)* = (a + 6) (a + 6) =• of + 2a6 + b1. (2) The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second.... | |
 | John Henry Walsh - Arithmetic - 1899 - 260 pages
...the square of the first + twice the product of the first and the second + the square of the second. The square of the difference of two quantities is equal to the square of the first — twice the product of the first and the second -f- the square of the second.... | |
 | George Edward Atwood - 1900 - 276 pages
...product of the two, plus the square of the second. Hence the following principle : 88. PRINCIPLE. — The square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second. 89. THIRD FORMULA.... | |
 | Analytical chemistry - 1900 - 532 pages
...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 of two quantities is equal to the square of the first, minus twice the product of the first and the second, plus the square of the second.... | |
 | International Correspondence Schools - Arithmetic - 1902 - 794 pages
...square of the first, plus twice tke product of the first and the second, plus the square of tke second. The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and the second, plus the square of the second.... | |
 | Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...4. (l+3xy)2. 9. 1(« + Ь) + (с + ,!)\*. 5. a* + f2/)2. 10. S2(e+/)+.3(i/ + /t)S2. 165. Theorem 2. The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second.... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 426 pages
...second. In the second case we have (a — б) = a' — 2ab + b', which relation may be stated thus : The square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second. In the third... | |
 | Robert Judson Aley, David Andrew Rothrock - Algebra - 1904 - 344 pages
...Ь)]2. 7. 3. The Square of a Binomial Difference. If, in the identity we change a to — a, it becomes The square of the difference of two quantities is equal to the sum of their squares diminished by twice their product. = 4 a2 — 4 ay + y2. EXERCISES. Write out the results... | |
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