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. Elementary Algebra - Page 57by Charles Davies - 1867 - 303 pagesFull view - About this book
| Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...+ ,!)\*. 5. a* + f2/)2. 10. S2(e+/)+.3(i/ + /t)S2. 165. Theorem 2. 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. Dem. Let x — a be the difference of two quantities, then... | |
| George Edward Atwood - Arithmetic - 1902 - 168 pages
...multiplication to be a2 — 2 a6 + 62. PRINCIPLE. — The square of the difference of two quantities is the square of the first, minus twice the product of the first and second, plus the square of the second. Since a represents any quantity and 6 any less quantity,... | |
| American School (Chicago, Ill.) - Engineering - 1903 - 426 pages
...have (a — б) = a' — 2ab + b', which relation may be stated thus : The square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second. In the third case we have (a -f- 6) (a — b) = a' — b», or... | |
| Arthur William Potter - Algebra - 1904 - 182 pages
...the two sets compare ? Deduce the following principle : PRINCIPLE. 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. Write out the following results without multiplying. If you... | |
| George Washington Hull - Algebra - 1904 - 172 pages
...4. (y + bf. 6. (m + n)2. HULL'S EL. OF ALG. — 4 49 PRINCIPLE II. 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, by multiplication, а -Ь а —b а2— ab Also,... | |
| Webster Wells - Algebra - 1904 - 642 pages
...first by the second, plug the square of the second. The square of the difference of two numbers equals the square of the first, minus twice the product of the first bij the second, jilits the square of the second. In the remainder of the book, we shall, for the sake... | |
| Arthur Schultze - Algebra - 1905 - 674 pages
...the first and second, plus the square of the second. II. The square of the difference of two numbers is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. III. The product of the sum and difference of two numbers... | |
| Arthur Schultze - Algebra - 1905 - 396 pages
...first and the second, plus the square of the second. S- П. 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. ^ III. The product of the sum and the difference of... | |
| Frederick Howland Somerville - Algebra - 1905 - 222 pages
...ai — ai + 62 a*+ a5 - ab - b1 From II. : 70. The square of the difference of two quantities equals the square of the first, minus twice the product of the first Ъy the second, plus the square of the second. From III. : 71. The product of the sum and difference... | |
| International Correspondence Schools - Arithmetic - 1906 - 576 pages
...product of the first and the second, plus the square of the second. The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and the second, plus the square of the second. EXAMPLE 1.— What is the value of (ив* + 3¿')s ?... | |
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