 | Roswell Park - Best books - 1841 - 722 pages
...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... | |
 | Davis Wasgatt Clark - 1844 - 394 pages
...we infer the following general principle: The square of a residual is the square of the first term, minus twice the product of the two terms, plus the square of the last term. 5. Required the second power of 6a-\-3b. Jlns. 36a2+36a6+962. 6. Required the second power... | |
 | Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...we infer the following general principle : The square of a residual is the square of the first term, minus twice the product of the two terms, plus the square of the last term. 5. Required the second power of 6a-\-3b. Jlns. 36o 2 +36a6+96 2 . 6. Required the second... | |
 | Roswell Park - 1847 - 632 pages
...-f 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... | |
 | Horatio Nelson Robinson - Algebra - 1866 - 328 pages
...= a2 + 2ab + V. This result, expressed in words, is as follows : The square of the first term, plus twice the product of the two terms, plus the square of the second term.The last two terms of the power may be factored as follows : 2ab + W = (2а + 6)6, which is expressed... | |
 | William Frothingham Bradbury - Algebra - 1868 - 264 pages
...bx = c cannot be a perfect square. (Art. 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,... | |
 | Horatio Nelson Robinson - Algebra - 1874 - 340 pages
...a2 + 2ab + b'. This result, expressed in words, is as follows : The square of the first term, plus twice the product of the two terms, plus the square of the second term. The last two terms of the power may be factored as follows: 2ab + h2 = (2a + 6)6, which is expressed... | |
 | William Frothingham Bradbury - Algebra - 1877 - 302 pages
...bx = c cannot be a perfect square. (Art. 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,... | |
 | Horatio Nelson Robinson - Algebra - 1879 - 332 pages
...= a?+ 2ab + b*. This result, expressed in words, is as follows : The square of the first term, plus twice the product of the two terms, plus the square of the second term. The last two terms of the power may be factored as follows : 2ab + b* = (2a + b) b, which is expressed... | |
 | Alexander Wilson (M.A.) - 1879 - 228 pages
...plus or minus), we have the formula (a±xf = a?±2aх + а?; ie, the square of a binomial is equal to the square of the first term, plus or minus twice the product of the terms, plus the square of tiie second. Or, The square of a binomial is equal to the sum of the squares... | |
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... is the square of the first term plus twice the product of the two terms plus the square of the second term. 
