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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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New Elementary Algebra: Designed for Common and High Schools and Academies

Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...quantities are multiplied. 36. Multiply 3+i/5 and OPERATION. Multiplicand Multiplier, a+y'i /~+ . Here we multiply each term of the multiplicand by each term of the multiplier, placing like terms in the same column, and then uniting the results. OPERATION. Multiplicand, 3+/B...
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The Collegiate Algebra: Adapted to Colleges and Universities

James Bates Thomson, Elihu Thayer Quimby - Algebra - 1880 - 360 pages
...131. Multiplication of Polynomials. The Multiplication of Polynomials is performed by the following RULE. — Multiply each term of the multiplicand by each term of the multiplier, and add the products. NOTES. — i. This does not differ in principle from the method of multiplying numbers, where...
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A University Algebra

Edward Olney - Algebra - 1880 - 354 pages
...completed. 84. Prob. — To multiply two factors together when one or both are polynomials. R ULE. — MULTIPLY EACH TERM OF THE MULTIPLICAND BY EACH TERM OF THE MULTIPLIER, AND ADD THE PRODUCTS. DEM. — Thus, if any quantity is to be multiplied by a + Ъ — e, if wo take it a times...
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First Principles of Algebra: An Introduction to the Author's Complete, Or ...

Edward Olney - Algebra - 1881 - 254 pages
...the three partial products I have 15z 2 — z—8z 2 , which is 5x + 3y-2z times 3z— 2y+4z. . 28. RULE. — Multiply each term of the multiplicand by each term of the multiplier, and add the products. 2. Multiply 3a 3 5-25 3 +53 by2a5+52. OPERATION. + 3a 3 b 3 — Prod., 6a35 2 +3a 3 b 3...
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The Complete Algebra ...

Edward Olney - Algebra - 1881 - 506 pages
...by Vtf. Prod., a1**. 92. Prob.— To multiply two factors together when one or both are polynomials. Rule. — Multiply each term of the multiplicand by each term of the multiplier, and add the products. Demonstration. — Thus, if any quantity is to he multiplied by a + &— c, if we take it...
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Elements of Algebra

George Albert Wentworth - Algebra - 1881 - 406 pages
...n -\-p) = am + bm + cm + an + 6n + en That is, to find the product of two polynomials, 71. Multiply the multiplicand by each term of the multiplier and add the partial products; or, multiply each term of one factor by each term of the other and add the partial products. 72. In...
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A School Algebra

Simon Newcomb - Algebra - 1882 - 302 pages
...result as before. We have therefore the following rule for multiplying one polynomial by another. 119. RULE. Multiply each term of the multiplicand by each term of the multiplier, and add the products with their proper algebraic signs. EXERCISES. 1. (m - n) (p - q). Solution, (m — n)p = mp...
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The Franklin Elementary Algebra

Edwin Pliny Seaver, George Augustus Walton - Algebra - 1881 - 304 pages
...arrangement. 107. From these examples may be derived a Rule for the Multiplication of Polynomials. Multiply each term of the multiplicand by each term of the multiplier, and add the results. 108. Exercises. 267. Multiply 1 — 2a* + 36ar ! by3n. 268. Multiply 2 ax + by — cz by 2...
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Algebra for Schools and Colleges

Simon Newcomb - Algebra - 1884 - 572 pages
...get the same result as before. We have therefore the following rule for multiplying aggregates : 78. RULE. Multiply each term of the multiplicand by each term of the multiplier, and add the products wi-th their proper algebraic signs. EXERCISES. 1. (a + b) (2a - 52 — 2w8). 2. (a —...
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New Practical Algebra

James Bates Thomson - Algebra - 1884 - 334 pages
...98. The various principles developed in the preceding cases, may be summed up in one GENERAL RULE. r Multiply each term of the multiplicand by each term of the multiplier, giving each product its proper sign, and each letter its proper exponent. The sum of the partial products...
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