 ... the square of the second. Example. — (a + b)2 = a2 + 2ab + b2. a +b a +b + ab + b2 a2 + 2 ab + b2 2. 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...  High School Algebra Complete - Page 89by Marquis Joseph Newell - 1920 - 401 pagesFull view - About this book
 | 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... | |
 | Charles Davies - Algebra - 1839 - 272 pages
...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... | |
 | Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...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.... | |
 | William Foster - 1840 - 92 pages
...of the quantities, plus the square of the second. 2. The square of the difference of two quantities equals the square of the first, minus twice the product of the quantities, plus the square of the second. 3. The product of the sum and difference of two quantities... | |
 | Charles Davies - Algebra - 1842 - 368 pages
...(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) (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.... | |
 | Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...— 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... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...; 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... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...+ b equal to a2 + 62. THEOREM II. (61.) The square of the difference of two quantities, is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. Thus if we multiply a — b By a — b We obtain the product... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...b equal to a2 + 62. THEOREM II. (61.) The square of the. difference of two quantities, is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. Thus if we multiply a — b By a — b a2—ab — ab We obtain... | |
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