 | Edward Olney - 1873 - 354 σελίδες
...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 - 1873 - 396 σελίδες
...(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 - 1873 - 220 σελίδες
...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 - 1875 - 430 σελίδες
...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 - 1875 - 348 σελίδες
....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 - 1875 - 348 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1876 - 324 σελίδες
...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... | |
 | William Frothingham Bradbury - 1877 - 280 σελίδες
...Ans. 4x2+ 8x 3. a; + 1. 4. 4 + *. 5. 2x + 3y. Ans. 4 *2 4-1? xy + 9 /. 6. Зa + 6. THEOREM III. 59. 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. Let о and b represent the two quantities, and a ]> b ; their dii... | |
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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. 
