 | William Frothingham Bradbury - 1889 - 444 σελίδες
...+ 1. 8. a* + b*. 4. a + 3 b. 9. x + 2. THEOREM II. 86. The square of the difference of two numbers is equal to the square of the first, minus twice the product of the two, plus the square of the second. PROOF. Let a and b represent the. two numbers. Their difference... | |
 | John Henry Walsh - 1895 - 476 σελίδες
...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 - 1895 - 136 σελίδες
...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 σελίδες
...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 - 1896 - 418 σελίδες
...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 - 1897 - 522 σελίδες
...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 - 1897 - 386 σελίδες
...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 - 1897 - 422 σελίδες
...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 - 1897 - 434 σελίδες
...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... | |
 | 1897 - 672 σελίδες
...plus the square of the second. 429. Also, that The square of the difference of two quantities equals the square of the first, minus twice the product of the first by the second, phis the square of the second. 430. The-third example is: 3. To find the product of... | |
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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. 
