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" ... 3. The sum of the exponents in each term is equal to the exponent of the binomial. 4. The coefficient of the first term is unity; of the second term, the same as the exponent of the binomial ; and the coefficient of any other term may be found by... "
High School Algebra: Advanced Course - Page 189
by Herbert Ellsworth Slaught, Nels Johann Lennes - 1908 - 194 pages
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Algebraic Analysis: Solutions and Exercises, Illustrating the Fundamental ...

George Albert Wentworth, James Alexander McLellan, John Cadenhead Glashan - Algebra - 1889 - 434 pages
...term is unity, and the coefficient of any other term is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the product by the number of that preceding term. It will be observed that the coefficients equally...
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Algebra, for High Schools and Colleges

Ellen Hayes - Algebra - 1897 - 244 pages
...b; 8. the coefficient of any particular term may be obtained by multiplying the coefficient of the preceding term by the exponent of a in that term and dividing it by the number which is one unit greater than the exponent of b in that term. For example, the expression...
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Algebra for Colleges and Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1897 - 548 pages
...of the binomial. (6) The coefficient of any term may be found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the result by the exponent of b plus 1. Ex. 1. Expand (a + b)«. (a + 6)« = a6 -f a6 + a1 + a8 + a2...
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A School Algebra Complete

Fletcher Durell, Edward Rutledge Robbins - Algebra - 1897 - 482 pages
...required power. In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the exponent of b increased by 1. IV. Signs of Terms. If the binomial is a difference, the signs...
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Text-book of Algebra: With Exercises for Secondary ..., Part 1, Issue 1898

George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1898 - 712 pages
...(v.) The coefficient of any term after the second is obtained by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term. Eg, the coefficient of the...
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Secondary Algebra

George Egbert Fisher - 1900 - 444 pages
...coefficient of any term afler the second is obtained, except for sign, by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term. Eg, the coefficient of the...
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Elements of Algebra

Wooster Woodruff Beman, David Eugene Smith - Algebra (Elements) - 1900 - 460 pages
...coefficient is 1, ¿Ae second is n, aгаa7 arc?/ other is formed by multiplying the coefficient of the preceding term by the exponent of a in that term and dividing by 1 inore than the exponent of b. The proof of this theorem, which has already been found inductively...
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Higher Algebra

George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 664 pages
...coefficient of any term afler the second is obtained, except for sign, by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term. Eg, the coefficient of Üießßft...
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Complete Secondary Algebra

George Egbert Fisher - 1901 - 622 pages
...coefficient of any term afler the second is obtained, except for sign, by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term. Eg, the coefficient of the...
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Elements of Algebra with Exercises

George Egbert Fisher, Isaac Joachim Schwatt - 1902 - 504 pages
...coefficient of any term after the second is obtained, except for sign, by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of Ь in that term. Eg, the coefficient of thefiflh...
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