| Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...general. This law can be enunciated in another manner : viz. The square of any polynomial contains the square of the first term, plus twice the product of the first by the second, plus the square of the second; plus twice the product of each of the two first... | |
| Charles Davies - Algebra - 1835 - 378 pages
...general. This law can be enunciated in another manner : viz. The square of any polynomial contains the square of the first term, plus twice the product of the first by the second, plus the square of the second ; plus twice the product of ilie first two terms... | |
| Algebra - 1839 - 368 pages
...general. This Jaw can be enunciated in another manner : viz. The square of any polynomial contains the square of the first term, plus twice the product of the first by the second, plus the square of the second ; plus twice the product of thefirst two terms by... | |
| Roswell Park - Best books - 1841 - 722 pages
...by x + a, we shall have (x + a)3 = x3 + 2 ax + a' ; that is, the square of a binomial, is made up of the square of the first term, plus twice the product of the two terms, plus the square of the last term. This suggests the rule for extracting the square root... | |
| Charles Davies - Algebra - 1842 - 284 pages
...law by which these squares are formed can be enunciated thus : The square of any polynomial contains the square of the first term, plus twice the product of the first term by the second, plus the square of the second ; plus twice the first two terms multiplied... | |
| William Scott - Algebra - 1844 - 568 pages
...(a+4+c+</)'=a2+2aA+42+2(a+4)c+c2+2(a+4+c)a"+d!, The square of a polynomial expression is consequently composed of the square of the first term, plus twice the product of the first term by the second, plus the square of the second term, plus twice the product of the sum of... | |
| Davis Wasgatt Clark - 1844 - 394 pages
...represent any numbers whatever, we infer the following general principle : The square of a binomial is the square of the first term, plus twice the product of the two terms, plus the square of the last tern 4. Required the second power of a— b. a — b a—b 2—... | |
| Charles Davies - Algebra - 1845 - 382 pages
...been shown (Art. 46), that, (o + 6)2 = a2 + 2ab + 62 ; that is, The square of a binomial is equal to the square of the first term plus twice the product of the first term by the second, plus the square of tJie second. • The square of a polynomial, is the product... | |
| Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...2 —x+p, and Vx'—Zpx+p'=x—p. 324. We have also seen that the square of a binomial is equal to the square of the first term, plus twice the product of the two terms, plus the square of the last term. Thus, Hence, if p2 be added to both members of each of... | |
| Elias Loomis - Algebra - 1846 - 380 pages
...the square root. But we know that the square of a binomial x + a, or Jt2 + 2ax + a", is composed of the square of the first term, plus twice the product of the first term by the second, plus the square of the second term. Hence, considering x2 + px as the first... | |
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