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. The Elements of Algebra - Page 75by Elias Loomis - 1856 - 268 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... | |
| 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... | |
| 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 Frederick Partington - Encyclopedias and dictionaries - 1838 - 1116 pages
...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... | |
| Charles Davies - Algebra - 1839 - 272 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 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 - 378 pages
...difference, a — b, we 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
...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 - 1842 - 284 pages
...a— b, we have (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
...difference, a—b, we 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... | |
| Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...second. 17. Multiply a — b by a — b. The product is a2 — 2a6+62 ; from which we perceive, that **the square of the difference of two quantities, is...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... | |
| |