 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.  A Treatise on Algebra - Page 32by Elias Loomis - 1846 - 346 pagesFull view - About this book
 | William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 428 pages
...8. а? + b3. 4. а + 3 b. 9. x + 2. THEOREM II. 86. Tfic square of the difference of two numbers ù equal to the square of the first, minus twice the product of thc two, plus tlie square of the second. PROOF. Let a and b represent the two numbers. Their difference... | |
 | John Henry Walsh - Arithmetic - 1895 - 476 pages
...the square of the first -f- 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 + the square of the second. (m — n)1 = m2 — 2... | |
 | William Milford Giffin - Algebra - 1895 - 136 pages
...353. 354. 355. 357. 358. 356. (2* -20* 360. 359. (3 a - 3 *)' 360a. Copy or read and fill the blanks: The square of the difference of two quantities is equal to the square of the minus twice the product of the by the plus the square of the MULTIPLICATION. LESSON XXXVI. 361. Find... | |
 | Henry Sinclair Hall, Samual Ratcliffe Knight - 1895 - 214 pages
...sum of two quantities is equal to the sum of their squares increased by twice their product. Rule 2. The square of the difference of two quantities is equal to the sum of their squares diminished by twice their product. Example 1. (x + 2yf = af + 2 . x . 1y + (2y)2... | |
 | Emerson Elbridge White - Algebra - 1896 - 418 pages
...represent any two numbers, it follows from (2) that The square of the difference of two numbers is the square of the first, minus twice the product of the first multiplied by the second, plus the square of the second. Write by Formula (2) the square of 10. ж... | |
 | Webster Wells - Algebra - 1897 - 422 pages
...to square a — b. a — b a — b a2 — ab - ab + bг Whence, (a - &)2 = a2 - 2 a& + Ь2. That is, the square of the difference of two quantities is...square of the first, minus twice the product of the two, plus the square of the second. Example. Square 4 x — 5. 80. Let it be required to multiply a... | |
 | Webster Wells - Algebra - 1897 - 522 pages
...required to square а — b. a — b ab a2 — ao - ab + b" Whence, (a - o)2 = a2 - 2 ab + b1. That is, the square of the difference of two quantities is...square of the first, minus twice the product of the two, plus the square of the second. Example. Square 4 i» — 5. 80. Let it be required to multiply... | |
 | Webster Wells - Algebra - 1897 - 386 pages
...required to square а — b. ab a — b a2 — ab - ab + b2 Whence, (a -b)i = a?-2ab + b2. That is, the square of the difference of two quantities is...square of the first, minus twice the product of the two, plus the square of the second. Example. Square 4 x — 5. Wehave, (4x - 5)2 =(4 ж)3 - 2 x ix... | |
 | Webster Wells - Algebra - 1897 - 434 pages
...b. a — b a — b a2— ab -ab + b2 Whence, (a - b)2 = a2 - 2 a& + b1. That is, the square oftJie 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. Example. Square 4 x — 5. 80. Let it be required to multiply a... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1897 - 552 pages
...have (a + b)i=(a + o)(a + b) = a2 + 2a& + o2 . . (1), (a_b)2=(ao)(ab) = a2-2ab + o2 . . (2). Rule II. The square of the difference of two quantities is equal to the sum of their squares diminished by twice their product. Ex.1. = x* + íxy + Ex. 2. ( 189. These rules... | |
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