Since 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 the second... Elementary Algebra - Page 197by Charles Davies - 1867 - 303 pagesFull view - About this book
| 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... | |
| Charles Davies - Algebra - 1839 - 272 pages
...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 - Algebra - 1839 - 264 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... | |
| 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... | |
| Charles Davies - Algebra - 1840 - 264 pages
...manner in which the •alue of the unknown quantity may be found. We have ieen (Art. 38), that and comparing this square with the first and third forms,...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... | |
| 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
...the value of the unknown quantity may be found. We have seen (Art. 38), that (x+p)2=a?+2px+p2 ; and comparing this square with the first and third forms,...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... | |
| 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—... | |
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