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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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Algebra

Isaac Todhunter - Algebra - 1858 - 530 pages
...considering the above cases we arrive at the following rule for multiplying two binomial expressions. Multiply each term of the multiplicand by each term of the multiplier; if the terms have the same sign, prefix the sign + to the product, if they have different signs prefix...
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A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - Algebra - 1858 - 344 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, observing with respect to the signs, that if two terms multiplied together have each the same sign,...
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The University Algebra ...

John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...— Yaarjyd — Haxy~*c. CASE III. (91.) When both the multiplicand and multiplier are polynomials. RULE. Multiply each term of the multiplicand by each term of the multiplier, and add the products. PROBLEM. Multiply a' + 06 + 6* by a + 6. SOLUTION. Operation. a*+ a6 + 6' Multiplying a'...
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The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - Arithmetic - 1859 - 362 pages
...I. Write the several terms of the multiplier tinder the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier, beginning with the lowest term in each, and call the product of any two denominations the denomination...
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Arithmetic for High Schools: Containing the Elementary and the Higher ...

James B. Dodd - Arithmetic - 1859 - 368 pages
...RULE XXXI. (132.) To Multiply one Duodecimal Polynomial by another. 1. Proceeding from right to left, multiply each term of the multiplicand by each term of the multiplier; mark each product term with the proper index (131), and set similar terms one under another. 2. When...
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Higher Arithmetic : Or, The Science and Application of Numbers: Combining ...

James Bates Thomson - Arithmetic - 1860 - 440 pages
...1. Place the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier separately, beginning with the lowest denomination in the multiplicand, and the highest in the multiplier,...
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Elements of algebra

Philip Kelland - 1860 - 308 pages
...Propositions of the Second Book. 9. (a' - 62) x 5 (a2 + b') = 5 (a4 - 64) = 5al - 5b\ 10. (a- b + c) (a + be). Multiply each term of the multiplicand by each term of the multiplier, arranging the results as below : a — b + c a + b — c a' — ab + ac + ab - 62 + be — ac + be...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...ay-\-az-\-bx — by-{-bz — ccr-f-cy— ex Hence the following general RULE. Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products. EXAMPLES FOK PRACTICE. (1.) (2.) (3.) 3o — 2bc bx'y+Zxy' 4a*m — Bed* — 3ac* 6a'— 4a'6c (4.)...
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...sum of these 1 ' partial products is 3o? -\- 5ab -\- 2W; the required product. Hence the following RULE. Multiply each term of the multiplicand by each term of the multiplier separately, and add the partial products. EXAMPLES. (2.) (3.) 4a-f-3ft 5 ж 4- 3У 3а -\- bx — 2y...
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New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - Algebra - 1864 - 420 pages
...and the sum of these partial products is 2ar" -|- xy — y*, the product required. Hence, the BULB. Multiply each term of the, multiplicand by each term of the multiplier, and add the partial products. EXAMPLES. (2.) (3.) (4.) 3a-)-5a; 8a2ic — d abc -\- m" 4m bad'2 4 am 12 am ' -\- 20 mx 40 a3 6 erf2...
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