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" Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. "
Elementary Algebra and Mensuration: Instruction Paper - Page 15
by American School (Lansing, Ill.) - 1902 - 72 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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New Elementary Algebra: Containing the Rudiments of the Science for Schools ...

Horatio Nelson Robinson - Algebra - 1879 - 332 pages
...adding the partial products. Hence Entire Product, 2a2 + 5a5 + 36s the RULE. — Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products. ENTIRE QUANTITIES. EXAMPLES FOR PRACTICE. Multiply By Product, Multiply By Product,...
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University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...to the first. On this we base the following rule for finding the product of two polynomials. BULE. Multiply each term of the multiplicand by each term of the multiplier, remembering that like signs produce +, and unlike signs produce — , and add the partial products....
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The junior student's algebra. [With] Answers to the examples

Alexander Wilson (M.A.) - 1879 - 228 pages
...multiplier and multiplicand are both compound expressions, the product will be found by multiplying each term of the multiplicand by each term of the multiplier, and combining the terms of these partial products. Ex. (i.) Multiply a2 - 3a + 2 by 2a - 4. a2- 3a + 2...
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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 (ie multiply...
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The Collegiate Algebra: Adapted to Colleges and Universities

James Bates Thomson, Elihu Thayer Quimby - Algebra - 1880 - 360 pages
...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 each...
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First Principles of Algebra: An Introduction to the Author's Complete, Or ...

Edward Olney - Algebra - 1881 - 254 pages
...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 5-2«5 3 +53 by2a5+52. OPERATION. + 3a 3 b 3 — Prod., 6a35 2 +3a 3 b 3 — NOTE....
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The Inductive Algebra: Embracing a Complete Course for Schools and Academies

William James Milne - Algebra - 1881 - 360 pages
...these two partial products is the entire product. Hence, the product is 2z2 — 3xy — 2y2. RULE. — Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. (2.) (3.) Multiply ab + 2c 3.T2 — any By 2ab — 3c 2z2 + Saxy 2a262 + 4abc 6z4...
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A School Algebra

Simon Newcomb - Algebra - 1882 - 302 pages
...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 — np;...
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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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