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" In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which... "
Essentials of Algebra: Complete Course (an Adequate Preparation for the ... - Page 69
by John Charles Stone, James Franklin Millis - 1905 - 506 pages
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...8^a — yx by — 2x* 3xy* Product CASE III. When both the factors are compound quantities. / RULE. Multiply each term of the multiplicand by each term of the multiplier ; then add all the products together, and the sum will be the product required. EXAMPLES. 1. 2. Multiply...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...From what has been done we have the following rule for the multiplication of polynomials, viz. 1°. Multiply each term of the multiplicand by each term of the multiplier, observi»g with respect to the signs, that if two terms multiplied together have each the same sign,...
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Elements of Algebra: Tr. from the French of M. Bourdon, for the ..., Volume 1

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...order to multiply together two polynomials composed entirely of additive terms, multiply successively each term of the multiplicand by each term of the multiplier, and add together all the products. If the terms are affected with coefficients and exponents, observe the...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1832 - 220 pages
...Ex. 4. 12a3— 2aa+4a— 1 Ex.6 4x' — 3xy CASE III. When both/actors are compound quantities. 22. Multiply each term of the multiplicand by each term of the multiplier, placing like quantities under each other: the sum of all the terms will be the product required. Ex....
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First Lessons in Algebra: Being an Easy Introduction to that Science ...

Ebenezer Bailey - Algebra - 1835 - 258 pages
...algebraic quantities. To facilitate practice, they will now be repeated together. 1. MULTIPLICATION. Multiply each term of the multiplicand by each term of the multiplier. &. SIGNS. When loth terms have the same sign, the product has the sign -f- ; but when they have different...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...order to multiply together two polynomials composed entirely of additive terms, multiply successively each term of the multiplicand by each term of the multiplier, and add together all the products. If the terms are affected with co-efficients and exponents,observo the...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 332 pages
...to multiply polynomials, all the terms of which are additive, we are only to multiply all the terms of the multiplicand by each term of the multiplier, and take the sum of the products. 2. When some of the terms are additive and some subtractive, regard must be had to the signs...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 320 pages
...to multiply polynomials, all the terms of which are additive, we are only to multiply all the terms of the multiplicand by each term of the multiplier, and take the suui of the products. • ' 2. When some of the terms are additive and some subtractive, regard must...
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Elements of Algebra

Algebra - 1838 - 372 pages
...order to multiply together two polynomials composed entirely of additive terms, multiply successively each term of the multiplicand by each term of the multiplier, and add together all the products. If the terms are affected with co-efficients and exponents, observe...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 272 pages
...order to multiply together two polynomials composed entirely of additive terms : Multiply successively each term of the multiplicand by each term of the multiplier, and add together all the products. EXAMPLES. 1. Multiply ..... 3a2+ by ..... , 2o +56 The product, after...
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