 ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, 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...  Secondary-school Mathematics - Page 122by Robert Louis Short, William Harris Elson - 1910Full 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... | |
 | 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.... | |
 | 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 product of 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—... | |
 | 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 product of the first by the second, plus the square of the second. Thus, (7a262— 12a63)2=49a4M— 168a365+144a266. 3d.... | |
 | 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 - 1842 - 284 pages
...(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 - 1842 - 368 pages
...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... | |
 | Davis Wasgatt Clark - 1844 - 394 pages
...; Squaring the equation - - S2=a2+2aj+62. Sixth Theorem. 202. The square of a polynomial expressing the difference between two numbers, is equal to the square of the first term — twice the product of the two terms + the square of t'he last term. Let d represent the difference,... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...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
...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... | |
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