| 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... | |
| 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».... | |
| 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.... | |
| 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,... | |
| 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 -... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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