In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which... Elements of Algebra - Page 49by William Smyth - 1833 - 280 pagesFull view - About this book
| 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... | |
| 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... | |
| Edward Olney - Algebra - 1874 - 228 pages
...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... | |
| Lewis Hensley - Algebra - 1875 - 274 pages
...(2) -5X-6. (3) 2 X 80. The general rule for the multiplication of two expressions will now be : — Multiply each term of the multiplicand by each term of the multiplier in succession, determining the sign of every product by the Rule of Signs ; then collect the terms,... | |
| 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... | |
| Edward Olney - Algebra - 1877 - 466 pages
...5xy by — x'y1 . 16. 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. Ex. 1. Multiply 2a'x — 3by + 4 m by Za'b'm. OPERATION. — It is immaterial... | |
| James Bates Thomson - Algebra - 1878 - 322 pages
...98. The various principles developed in the preceding cases, may be summed up in one GENERAL RULE. 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... | |
| Edward Olney - Algebra - 1878 - 516 pages
...ab; - 5xy by - x'y\ 10. To multiply tivo factors together whtn one or both are polynomials. RULE. — MULTIPLY EACH TERM OF THE MULTIPLICAND BY EACH TERM OF THE MULTIPLIER, AND ADD THE PRODUCTS. Ex. 1. Multiply 2a'x — Sby+lmby Za'Fm. OPERATION. — It is immaterial 2a2^... | |
| Edward Olney - 1878 - 360 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 + b — c, if wo take... | |
| 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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