 ... the square of the second. In the second case, (ab)2 = a?-2ab + bi. (2) That is, the square of the difference of two numbers 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 39by Elias Loomis - 1868 - 384 pagesFull view - About this book
 | Alexander Malcolm - Algebra - 1730 - 702 pages
...one of them • and the Product of thé other into the Sum of this other and double the former. Alfo the Square of the Difference of two Numbers is equal to the Difference of the Square of one of them, and the Product of the other into, the Difference of this... | |
 | William Smyth - Algebra - 1830 - 278 pages
...power or square of the sum of two quantities contains the square of the first quantity, plus double the product of the first by the second, plus the square of the second. Thus, (7 + 3) (7 + 3) or, (7 + 3)' = 49 + 42 + 9 = 100 So also (5 a2 + 8 a2 6)2 = 25 a6 + 80 <tb + 64 a4... | |
 | Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...enunciated in another manner : viz. The square of any polynomial contains the square of the first term, plus twice the product of the first by the second, plus the square of the second; plus twice the product of each of the two first terms by the third, plus the square of the third; plus... | |
 | Charles Davies - Algebra - 1835 - 378 pages
...enunciated in another manner : viz. The square of any polynomial contains the square of the first term, plus twice the product of the first by the second, plus the square of the second ; plus twice the product of ilie first two terms by the third, plus the square of the third ; plus... | |
 | Algebra - 1838 - 372 pages
...b, we have (a-by=(ab) (ab)=a?-2ab+t2 : That is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of the frst by the second, plus the square of the second. Thus, fTVi2— 12ai3)2=49a4i4— 168a3i5+144a2i6.... | |
 | Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...have (a— 6)2=(a-6) (a-6)=a2-2a6 + 62: That is, the square of the difference between two quantities is equal to the square of the first, minus twice the...by the second, plus the square of the second. Thus, (7a262— 12a63)2=49a4M— 168a365+144a266. 3d. Let it be required to multiply a+6 by a — b. We have... | |
 | Charles Davies - Algebra - 1839 - 264 pages
...(ab)2 = (a — b) (ab) = a*—2ab + b3. That is, the square of the difference between two quantities is equal to the square of the first, minus twice the...first by the second, plus the square of the second. 1 Form the square of 2a — b. We have (2<z — 6)2=±4a2— 4a6 + 62. 2. Form the square of 4ac —... | |
 | Richard W. Green - Algebra - 1839 - 156 pages
...multiply their difference, by their difference. a—b a—b a3 — ab —ab+b3 a3— 2ab+b3 Therefore, the square of the difference of two numbers, is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second. §174. The only... | |
 | Charles Davies - Algebra - 1840 - 264 pages
...square of a difference a— b, we have That is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of tht frst by the second, plus the square of the second. 1 Form the square of 2<z— b. We have (2a —... | |
 | Charles Davies - Algebra - 1841 - 264 pages
...J)=a2— 2aJ+J2. That is, the square of the difference between two quantities is equal to the squajre of the first, minus twice the product of the first by the second, plus the square of the second. 1 Form the square of 2a— b. We have (2a — J)2=4a2 — 4aJ+J2. 2. Form the square of 4ae — be.... | |
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