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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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Primary Elements of Algebra: For Common Schools and Academies

Joseph Ray - Algebra - 1866 - 250 pages
...following GENERAL RULE, FOR THE MULTIPLICATION OF ALGEBRAIC QUANTITIES. 1. Beginning at the left hand, multiply each term of the multiplicand by each term of the multiplier, observing that like signs give plus and unlike signs give minus. 2. Add the several partial products...
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New University Algebra: A Theoretical and Practical Treatise Containing Many ...

Horatio Nelson Robinson - 1868 - 430 pages
...ay-\-az-\-bx — by-^-bz — cx-\-cy — cz Hence the following genoral HULE. Multiply all the terms of tJie multiplicand by each term of the multiplier, and add the partial products. EXAMPLES FOR PRACTICE. 12л;'— Ixy— 10/ 6л'— Зх'у— З 6. Multiply 3aV— y'z+z1 by 2az»....
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Elements of Algebra: For Colleges, Schools and Private Students

Joseph Ray - Algebra - 1866 - 420 pages
...the signs are positive, \vc have the following Eule for Multiplying ens Polynomial by Another. — Multiply each term of the multiplicand by each term of the multiplier, and add the products. 2. Multiply x-\-y by afc. . . Ans. ar-\-ay-\-cx-\-cy. 3. 2x+Bz by 5x+2z. . . . Ans. Qx*+I3xz+QJ....
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The popular educator, Volume 2; Volume 30

Popular educator - 1872 - 842 pages
...Lei-son XXCI., Vol. I., puffe 3SO. 290 291 multiplier under the corresponding terms of the multiplicand. Multiply each term of the multiplicand by each term of the multiplier separately, beginning with the lowest denomination in tie multiplicand and the highest in the multiplier,...
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An Elementary Algebra

Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...Multiply 2a; + 3y by 3. Multiply x + y by x-3y 75. Rule for Multiplying a Polynomial by a Polynomial.— Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. PROBLEMS. (M (2.) af — y" ab-cd x -y ab + cd xm+l — xy" a?b* — abcd — 2m y + y"+1 + abcd -...
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A University Algebra ...

Edward Olney - Algebra - 1873 - 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 + Ь — с, if we take it a times...
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Introduction to Algebra: Designed for Use in Our Public Schools ... and for ...

Edward Olney - Algebra - 1874 - 228 pages
...adding the three partial products I have 15zz — z—Sz', which is 5x + 3y—2z times 3x—2y + 4z. 28. RULE. — Multiply each term of the multiplicand by each term of the multiplier, and add the products. 2. Multiply 3a35-2ffZ>3+5* by2a5+J8. OPEBATION. 2ab Prod., NOTE. — The pupil should give...
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The Complete Arithmetic: Oral and Written

Daniel W. Fish - Arithmetic - 1874 - 542 pages
...RULE. — I. Write the terms of the multiplier under the corresponding terms of the multiplicand. IL Multiply each term of the multiplicand by each term of the multiplier, beginning with the lowest order of units in each. Reduce each product to higher denominations when...
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New Elementary Algebra: Containing the Rudiments of the Science for Schools ...

Horatio Nelson Robinson - Algebra - 1875 - 338 pages
...adding the partial products. Hence Entire Product, 2^ + 5ttb + W the EULE. — Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products. Give Case III. Analysis. Rule. EXAMPLES FOR PRACTICE. Product, 3ac — — 11xy (4.) 6. Multiply 3a2...
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The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1875 - 468 pages
...I. Write 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, beginning with the lowest term in each, and call the product of any fico orders, the order denoted...
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