| Charles Davies - Algebra - 1835 - 378 pages
...(a-by=(ab) (ab)=a1-2ab+V That is, the square of the difference between two quantities is composed of **the square of the first, minus twice the product of the first** by the second, plus the square of the second. Thus, (7a3i3-12ai3)3=49aW-168a''is+144a3ii1. 3d. Let... | |
| Algebra - 1838 - 372 pages
...difference, a — 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
...difference, a — b, we 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 product of the first** by the second, plus the square of the second. Thus, (7a262— 12a63)2=49a4M— 168a365+144a266. 3d.... | |
| Charles Davies - Algebra - 1839 - 272 pages
...39. To form the 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 the first** by the second, plus the square of the second. 1 Form the square of 2a — b. We have 2. Form the square... | |
| Charles Davies - Algebra - 1840 - 264 pages
...39. To form the 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 - 1842 - 368 pages
...difference, a—b, we have (a—b)2=(ab) (ai)=a 2 —2ai+i2: That is, the square of the difference between **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. Thus, (7o 2 i2—12ai 3 ) 2 =49a 4 i 4 —168a 3 i 6... | |
| Charles Davies - Algebra - 1842 - 284 pages
...a— b, we have (a—b)2 = (a—b) (a—b)—az~2ab+bz. That is, the square of the difference between **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, 1. Form the square of 2a— b. We have (2a—6)2=4o2—4a6+62.... | |
| Charles Davies - Algebra - 1845 - 382 pages
...36a862 + 108a5ft* + 81a2ft6 ; also, (8a3 + 7acb)2-. THEOREM II. The square of the difference between **two quantities is equal to the square of the first, minus twice the product of the first** by the tecond, plus the square of the second. Let a represent one of the quantities and b the other... | |
| Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...— b. The product is a2 — 2a6+62 ; from which we perceive, that 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. 18. Multiply a+b by a — b. The product is a2 — b2... | |
| Elias Loomis - Algebra - 1846 - 376 pages
...is to call the square of а + b equal to a2 + 62. THEOREM II. (61.) The square of the difference of **two quantities, is equal to the square of the first,...the first and second, plus the square of the second.** Thus if we multiply a — b By a — b We obtain the product a2 — lab + № EXAMPLES. 1. (x — y)2=... | |
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