 ... 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...  Elementary Algebra - Page 87by Frederick Howland Somerville - 1908 - 407 pagesFull view - About this book
 | 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...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. 2. Form the square of 4ac—bc. We have... | |
 | 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...first by the second, plus the square of the second. 18. Multiply a+b by a — b. The product is a2 — b2 ; whence we find, that the product of the sum,... | |
 | 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 : then... | |
 | 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... | |
 | Algebra - 1847 - 408 pages
...; also, (8a3 + 7ac6)2=. THEOREM II. The square of the difference between two quantities is equal to the square of the first, minus twice the product of...first by the second, plus the square of the second. Let a represent one of the quantities and b the other : then a — b = their difference. Now, we have... | |
 | Algebra - 1847 - 386 pages
...THEOREM II. The square of the difference between two quantities is equal to the square of the ßrst, minus twice the product of the first by the second, plus the square of the second. Let a represent one of the quantities and b the other : then a — b = their difference. Now, we have... | |
 | Charles Davies - Algebra - 1848 - 300 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...first by the second, plus the square of the second. 1. Form the square of 2a — b. We have (2<z — i)2 = 4a2 — 2. Form the square of 4<zc— be. We... | |
 | Joseph Ray - Algebra - 1848 - 252 pages
...quantities a and b; hence THEOREM II. The square of the difference of two quantities, is equal to {he square of the first, minus twice the product of the...first by the second, plus the square of the second. EXAMPLES. 1. (5-4)2=25-40+16=l. 2. (2a— 6)2=4a2 3. (3x-2y)2 4. (al-yI)»=z 5. (ax— x*Y=aW— 2axs+a;«.... | |
 | Charles Davies - Algebra - 1848 - 302 pages
...principles, That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. 1. Form the square of 2a+3b. We have from the rule (2a +3i)2 =: 4a2 + 12ai + 9i2. 2. (5ai+3ac)2 =25a2i2+... | |
| |
