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" Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. "
The Inductive Algebra: Embracing a Complete Course for Schools and Academies - Page 46
by William James Milne - 1881 - 347 pages
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...2z/2 — 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 rule...
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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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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 rule...
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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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Treatise on the elements of algebra

James Bryce - Algebra - 1837 - 322 pages
...7. CASE III. When both multiplier and multiplicand are compound quantities. RULE. 38. Multiply every term of the multiplicand by each term of the multiplier, and add the several products thus obtained. It is obvious from the note to page 22, and from Art. 11, that to multiply...
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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 the...
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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 reducing,...
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The Elements of Arithmetic

Augustus De Morgan - Algebra - 1840 - 186 pages
...three examples may be collected the following rule for the multiplication of algebraic quantities : Multiply each term of the multiplicand by each term of the multiplier ; when the two terms have both + or both — before them, put •+• before their product ; when one...
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