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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... "
Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ... - Page 183
by Joseph Ray - 1852 - 396 pages
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Elements of Algebra: Tr. from the French of M. Bourdon, for the ..., Volume 1

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 terms...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

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 by the...
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Elements of Algebra

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 the...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 264 pages
...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...
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Pantology: Or, A Systematic Survey of Human Knowledge; Proposing a ...

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...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...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...
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A Treatise on Algebra: Embracing, Besides the Elementary Principles, All the ...

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...
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Elements of Arithmetic and Algebra: For the Use of the Royal Military College

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...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...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...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,...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...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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