| Bourdon (M., Louis Pierre Marie) - 1831 - 446 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 - 378 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... | |
| Charles Davies - 1839 - 272 sider
...the unknown quantity may be found. We have seen (Art. 38), that and comparing this square with tho first and third forms, we see that the first member...square of the first term plus twice the product of the 2nd term by the first. If, then, we take half the coefficient of x, viz : p, and square it, and add... | |
| Charles Davies - 1839 - 264 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... | |
| 1839 - 368 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 - 722 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 - 284 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... | |
| Davis Wasgatt Clark - 1844 - 394 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—... | |
| William Scott - 1844 - 568 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... | |
| Charles Davies - 1845 - 382 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... | |
| |