The square of the difference of two numbers is equal to the square of the first, minus twice the product of the first and the second, plus the square of the second. Elementary Algebra - Page 109by Herbert Ellsworth Slaught, Nels Johann Lennes - 1915 - 373 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... | |
| 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.... | |
| 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 - 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 —... | |
| 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... | |
| George Peacock - Algebra - 1842 - 426 pages
...whatsoever. The square 64. To form the square of a - b. ofa-b. a - b a -ft a8- ah - ab + b* = (a Or the square of the difference of two numbers is equal to the excess of the sum of the squares of those numbers above twice their product. Thus, ( 5-S)* = 2* = 4=... | |
| 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... | |
| 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... | |
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