| 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 - 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... | |
| 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 of a polynomial ; which we have no... | |
| Roswell Park - Best books - 1841 - 624 pages
...+ a)* = x1 -f 2 ax + a' ; that is, the square of a binomial, is made up of the square of the tirst 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 of a polynomial ; which we have no... | |
| George Roberts Perkins - Algebra - 1842 - 370 pages
...+2(a+b+c)d+d2+2(a+b+c+d)e+e2 &c., &c. From the above, we discover, that (103.) The square of any polynomial is equal to the square of the first term, plus twice the first term into the second, plus the square of the second ; plus twice the sum of the first two into... | |
| 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... | |
| Davis Wasgatt Clark - 1844 - 394 pages
...Thus, V^+Zpx 2—x+p, and vV— 2px-\-p2=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, And the square of the residual, x— p, gives Hence, if p* be added to both members... | |
| 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... | |
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