 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 28by Elias Loomis - 1855 - 316 pagesFull view - About this book
 | Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...4. What is the square of c + 3 ? 5. What is the square of 3 + a*? Ans. 9+6ai + at. Theorem, II. 114. The square of the difference of two quantities is...of the first, minus twice the product of the first by the second, plus the square of the second. • For, let a and b represent the two quantities, then... | |
 | Edward Olney - Algebra - 1873 - 354 pages
...square of the first, plus twice the product of the two, plus the square of the second. 86. THEO. — 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. 87. THEO. — The product of the sum and difference of two quantities... | |
 | Elias Loomis - Algebra - 1873 - 396 pages
...(5a3+8a26)2= 3. (5a+36)2= 8. 4. (5a2+ 26)2= 9. 5. 5a3+i= 10. 67. T/ie square of the difference of two numbers is equal to the square of the first, minus twice the product of the first by the sec~ and, plus the square of the second. Thus, if we multiply a— 6 by a— b a?— ab - ab+bz... | |
 | David White Goodrich - Ready-reckoners - 1873 - 220 pages
...3969, etc. Again, since (a— by=a' — 2«5-t-6", the square of the difference of two numbers equals the square of the first, minus twice the product of the first by the second, plus the square of the second. Thus 19" = 400—40+2 = 361. 95" = 10000—1000+25 =... | |
 | Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...and second, plus the square of the second. II. (a — b)*=(a—b)(a — b) = a*—2ab + & ; hence, The square of the difference of two quantities is...the first and second, plus the square of the second. III. (a +b)(a — b)—a*-^; hence, Tue product of the sum and difference of two quantities is equal... | |
 | William Guy Peck - Algebra - 1875 - 348 pages
....product of the first and second, plus the square of the second. 2°. The square of the difference of any two quantities, is equal to the square of the first,...the first and second, plus the square of the second. 3°. The product of the sum and difference of any two quantities, is equal to the square of the first,... | |
 | William Guy Peck - Algebra - 1875 - 348 pages
...product of the first and second, plus the square of the second. 2°. The square of the difference of any two quantities, is equal to the square of the first,...product of the first and second, plus the square of the *ec,md. The method of applying these principles is shown in the following EXAMPLES. 1. Let it he required... | |
 | William Frothingham Bradbury - 1875 - 280 pages
...2y. Ans. 4 ж2 3. x + 1. 4. 4 + ж. 5. 2ж + 3у. Ans. 4зг'4 6. 3а + 6. THEOREM III. 59, ГЛе square of the difference of two quantities is equal...square of the first, minus twice the product of the two, plus the square of the second. Let a and 6 represent the two quantities, and а ]> b ; their di/... | |
 | Charles Mansford - 1875 - 110 pages
...square of the first + twice the product of two quantities + the square of the second. And from (ii.) The square of the difference of two quantities is equal to the square of the first — twice the product of the quantities + the square of the second. Twice Sq. of Sq. of first. the... | |
 | Charles Davies - Algebra - 1876 - 324 pages
...we have, (a - o)2 = (a - &) (a - o) = a2 - 2ao + ó2. That is, 7%e square of (he difference of any two quantities is equal to the square of the first, minus twice the product of theßrst by the second, plus the square of the second. 1. Find the square of 2a — b. We have, (2a... | |
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