 | Roswell Park - Best books - 1841 - 722 pages
...of a monomial, is also a monomial : but if we multiply x + a by x + a, we shall have (x + a)3 = x3 + 2 ax + a' ; that is, the square of a binomial, is...quadratic equation, when reduced to the regular form, x3 -f- ax = b, we must consider ax as twice the product of the two terms of a binomial root ; and x... | |
 | 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...quadratic equation, when reduced to the regular form, x1 + ax = b*, we must consider ax as twice the product of the two terms of a binomial root ; and x... | |
 | Roswell Park - Classification of sciences - 1844 - 678 pages
...monomial, is also a monomial : but if we multiply x + a by x + a, we shall have (x + oV = x3 + 2 ax + a3 ; that is, the square of a binomial, is made up of the...terms of a binomial root ; and x being one of them, » a will necessarily be the other. We must therefore add the square of ia to each member of the equation... | |
 | 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— ab — ab+b* Jlns. Note. — -Since... | |
 | Davis Wasgatt Clark - Algebra - 1846 - 374 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 a 2 — ab a2—Zab+b2. Jlns. Note. — Since... | |
 | William Frothingham Bradbury - Algebra - 1868 - 264 pages
...145, Note 2.) But we know that the square of a binomial is the square of the first term plus or minus twice the product of the two terms plus the square of the last term ; and if we can find the third term which will make a;2 -|- bx a perfect square of a binomial, we can... | |
 | William Frothingham Bradbury - 1875 - 280 pages
...145, Note 2.) But we know that the square of a binomial is the square of the first term plus or minus twice the product of the two terms plus the square of the laut term ; and if we can find the third term which will make x2 -\- Ъx a perfect square of a binomial,... | |
 | William Frothingham Bradbury - Algebra - 1877 - 302 pages
...145; Note 2.) But we know that the square of a binomial is the square of the first term plus or minus twice the product of the two terms plus the square of the last term; and if we can find the third term which will make x 2 -f- bx a perfect square of a binomial, we can... | |
 | William Frothingham Bradbury - Algebra - 1877 - 280 pages
...Note 2.) But we know that the square of a binomial is the square of the first term plus or minus tunee the product of the two terms plus the square of the last term ; and if we can find the third term which will make ar -j- bx a perfect square of a binomial, we can... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...results may be enunciated as follows : second, the square of the first term of the first factor, MINUS the product of the two terms, plus the square of the last term. To factor the DIFFEKEXCE of two perfect cubes, write for the first factor the DIFFERENCE of the cube... | |
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... 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. 
