 | William James Milne - Algebra - 1894 - 214 pages
...obtained ? The third term ? 2. What signs connect the terms of the power ? 61. PRINCIPLE. The sqnare nf 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 second. Write out... | |
 | William Freeland - Algebra - 1895 - 328 pages
...the product of the first by the second, plus the square of the second. II. (а-b)2 = а2That is : 63. The square of the difference of two quantities is...square of the first, minus twice the product of the first by the second, plus the square of the second. III. (a + b)(a - &) = a2 - V. That is : 64. The... | |
 | George Washington Hull - Algebra - 1895 - 358 pages
...(я?я + 2/3")2. 29. (А*4 5a)'. 10. (2c + Sei).1 63 20. (2x ! + Зж3)280. (m* + »*)'. PRINCIPLE II. The square of the difference of two quantities is...square of the first, minus twice the product of the first and second, plus: the square of the second. Thus, by multiplication, a — b a — b a1- ab -ab... | |
 | John Henry Walsh - Arithmetic - 1895 - 400 pages
...the square of the first + twice the product of the first and the second -f- 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. (a + i)' = a' + 2 ab... | |
 | 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... | |
 | 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...product of the two, plus the square of the second. Example. Square 4 x — 5. 80. Let it be required to multiply a + b by a — o. a + b ab -ab -b2 Whence,... | |
 | 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...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 x 5 + 52 80. Let it be required to multiply... | |
 | 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...product of the two, plus the square of the second. Example. Square 4 i» — 5. 80. Let it be required to multiply a + b by a — 6. a + b a — b -ab... | |
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... the square of the second. In the second case, we have (a — &)2 = a2 — 2 ab + b2. (2) That is, 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. 
