 | Bourdon (M., Louis Pierre Marie) - 1831 - 446 σελίδες
...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 terms... | |
 | Charles Davies - 1835 - 378 σελίδες
...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 by the... | |
 | 1839 - 368 σελίδες
...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 the... | |
 | Charles Davies - 1839 - 264 σελίδες
...third forms, we see that the first member in each contains two terms of the square of a binomial, viz : the 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 - 1841 - 722 σελίδες
...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 σελίδες
...third forms, we see that the first member in each contains two terms of the square of a binomial, viz : the 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... | |
 | George Roberts Perkins - 1842 - 370 σελίδες
...+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... | |
 | William Scott - 1844 - 568 σελίδες
...(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...term by the second, plus the square of the second term, plus twice the product of the sum of the first and second terms by the third, plus the square... | |
 | Davis Wasgatt Clark - 1844 - 394 σελίδες
...other term (Art. 292). 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,... | |
 | Charles Davies - 1845 - 382 σελίδες
...extracting the 'square root. It has already been shown (Art. 46), that, (o + 6)2 = a2 + 2ab + 62 ; that is, The square of a binomial is equal to the square of...of the first term by the second, plus the square of tJie second. • The square of a polynomial, is the product arising from multiplying the polynomial... | |
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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... 
