| George Edward Atwood - 1900 - 276 pages
...plus the square of the second. Hence the following principle : 88. PRINCIPLE. — 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. 89. THIRD FORMULA. — (a + 6)(a... | |
| Analytical chemistry - 1900 - 532 pages
...plus twice thc 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. The product of... | |
| William James Milne - Algebra - 1901 - 476 pages
...PRINCIPLE. — The square of the difference of two numbers is equal to the square of the first number, minus twice the product of the first and second, plus the square of the second. EXAMPLES Expand by inspection : 1. (ж — m) (ж — m). 10. (2 а -ж)2. 19. (3ж-2)2.... | |
| William James Milne - Algebra - 1902 - 620 pages
...PRINCIPLE. — The square of the difference of tiro numbers ?.s equal to tJie square of the first number, minus twice the product of the first and second, plus the square of the second. EXAMPLES Expand by inspection : 1. (x—m)(x — m). 10. (2 a -a:)5. 19. (3z-2)J. 2. (m... | |
| George Edward Atwood - Arithmetic - 1902 - 168 pages
...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, a + 6 represents the sum and a... | |
| International Correspondence Schools - Arithmetic - 1902 - 794 pages
...plus twice tke product of the first and the second, plus the square of tke 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. T/tc product of... | |
| Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...1(« + Ь) + (с + ,!)\*. 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... | |
| American School (Chicago, Ill.) - Engineering - 1903 - 426 pages
...second case we 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-... | |
| Arthur William Potter - Algebra - 1904 - 182 pages
...the products of 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... | |
| George Washington Hull - Algebra - 1904 - 172 pages
...cf. 2. (a + nf. 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,... | |
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