 | Silas Totten - Algebra - 1836 - 360 pages
...adding them together : thus, and 36aV + 60a3^3 + 25aix3 = (Sax2 + 5aV)2, or x X (6ax2 + 5aV). . 2. The square of the difference of two quantities is equal to the sum of their squares, minus twice their product. Let a be the greater of two quantities, and b the... | |
 | Charles Frederick Partington - Encyclopedias and dictionaries - 1838 - 1116 pages
...plus twice the product of the first and second. 2°. That (o — b) (a — i) = a* — 2o6 + V ; or, that the square of the difference of two quantities is equal to the square of the first, plug the square of the second, minus twice the product of the first and second. 3°. That (a + i) (a... | |
 | 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.... | |
 | 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 - 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 : then... | |
 | Admiralty - 1845 - 152 pages
...quantities, is equal to the sum of their squares, plus twice their product." From the 3rd of these we see that "The square of the difference of two quantities, is equal to the sum of their squares, minus twice their product." Multiply 2x+b Multiply bx*— 2x by 3x-7 by 6x*+7x... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...most common mistakes of beginners is to call the square of а + b equal to a2 + 62. THEOREM II. (61.) The square of the difference of two quantities, is...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
...most common mistakes of beginners is to call the square of o + b equal to a2 + 62. THEOREM II. (61.) The square of the. difference of two quantities, is...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... | |
 | Charles Davies - Algebra - 1848 - 302 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 Jirst by the second, plus the square of the second. 1. Form the square of 2a — b. We have 2. Form... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...a— 6 a2 — a6 — ab+V But a—b is the difference of tho quantities a and b ; hence THEOREM II. The square of the difference of two quantities, is...first, minus twice the product of the first by the tecond, plus the sqitare of the second. EXAMPLES. 1. (5-4)*=25-40+16=l. 2. (2a— 6)2=4a2 3. (3*—... | |
| |
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, (a — 6)* = (a — b) (a — 6)=a2— 2a6 + 6'. 
