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Bøker Bok 110 av 60Since the square of a binomial is equal to the square of the first term, plus twice...
" 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... "
First Lessons in Algebra, Embracing the Elements of the Science ... - Side 175
av Charles Davies - 1839 - 252 sider
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Elements of Algebra: Tr. from the French of M. Bourdon, for the Use ..., Volum 1

Bourdon (M., Louis Pierre Marie) - 1831 - 389 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...
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Elements of Algebra: Tr. from the French of M.Bourdon. Revised and Adapted ...

Charles Davies - 1835 - 353 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...
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Elements of Algebra

1839 - 355 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...
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Pantology: Or, A Systematic Survey of Human Knowledge; Proposing a ...

Roswell Park - 1841 - 587 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...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1842 - 258 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...
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Elements of Arithmetic and Algebra: For the Use of the Royal Military College

William Scott - 1844 - 500 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...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 346 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—...
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Elements of Algebra: Including Sturm's Theorem

1845 - 368 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...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1846 - 358 sider
...2 —x+p, and Vx'—Zpx+p'=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, Hence, if p2 be added to both members of each of...
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A Treatise on Algebra

Elias Loomis - 1846 - 346 sider
...the square root. But we know that the square of a binomial x + a, or Jt2 + 2ax + a", is 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. Hence, considering x2 + px as the first...
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