 | Lorenzo Fairbanks - 1875 - 472 sider
...combinations produced. 616. A Binomial is a quantity consisting of two terms, and its square is equal to the square of the first term, plus twice the product of the first by the second, plus the square of the second. Let 35 be written 30 + 5. Then, squaring this number,... | |
 | William Guy Peck - 1875 - 348 sider
...the sum of all the other terms. Hence, its square, which is the given polynomial, will be made up of the square of the first term, plus twice the product of the first term by the sum of all the other terms, plus the square of the sum of all the other term*, (Art.... | |
 | William James Milne - 1881 - 360 sider
...EXPLANATION. — Since the (2-f3i/^2=4+ 12f'J+9a; second power of the polynomial is sought, the power will be the square of the first term, plus twice the product of the first and second, plus the square of the second. RULE. — liaise the rational factor of a monomial... | |
 | Charles Davies - 1889 - 330 sider
...the sum of <M the other terms. Hence, its square, which is the given polynomial, will be made up of the square of the first term, plus twice the product of the first term by the sum of all the other terms, plus the square of the sum of all the other terms (Art.... | |
 | Asa Hollister Craig - 1897 - 538 sider
...of any letter in the product is equal to the sum of the exponents of this letter m the factors. 40. The square of the first term, plus twice the product of the first and the second, plus the square of the second if both terms are positive; if, however, the binomial... | |
 | Edward Gideon - 1903 - 164 sider
...the following principle or law is derived : — • \/ The square of the »urn of two quantities is the square of the first term, plus twice the product of the first term by the second, plus the square of the second term. 2. Expand (x — y)(x — y); or, find... | |
 | Joseph Claudel - 1906 - 758 sider
...squared by squaring its terms: (3 n\* Q n2 IF) = ~w ' (300) 533. The square of a binomial is equal to the square of the first term plus twice the product of the first term and the second, plus the square of the second. The double product is positive or negative... | |
 | Earle Raymond Hedrick - 1908 - 442 sider
...+ 169sry. 24. 57. Square of Sum. The result of § 56 is : The square of the sum of two terms equals the square of the first term, plus twice the product of the two terms, plus the square of the second term. 58. Square of Difference. Likewise II. O-/)2 = jr2-2jr/+/.... | |
 | William Benjamin Fite - 1913 - 304 sider
...This can be expressed in ordinary language as follows : The square of the sum of two terms is equal to the square of the first term plus twice the product of the first by the second, plus the square of the second term. In a similar way the student should form the... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 310 sider
...term of the root is evidently a, because the square of a is a2. Since in squaring a binomial we have the square of the first term plus twice the product of the first and second terms, etc., we have in 2 ab twice the product of a and the second term. We therefore... | |
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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... 
