| Bourdon (M., Louis Pierre Marie) - 1831 - 389 sider
...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 - 1835 - 353 sider
...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... | |
| 1839 - 355 sider
...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 - 1841 - 587 sider
...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 - 1842 - 258 sider
...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 - 1844 - 500 sider
...(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 - 346 sider
...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—... | |
| 1845 - 368 sider
...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 - 1846 - 358 sider
...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 - 1846 - 346 sider
...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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