 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...  The Elements of Algebra - Σελίδα 73των Elias Loomis - 1856 - 268 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Benjamin Greenleaf - 1877 - 662 σελίδες
...sum of these - partial products is3a'-|-Soi-|"2^! the required product. Hence the following К ULE. Multiply each term of the multiplicand by each term of the multiplier separately, and add the partial products. EXAMPLES. (2.) (3.) 4« 3a + + 3 b 1, 5x X + 3у - 2у •... | |
 | Edward Olney - 1878 - 516 σελίδες
...Sc'd1 by- 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^ — Sby... | |
 | Edward Olney - 1878 - 360 σελίδες
...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 it a tunes... | |
 | James Bates Thomson - 1878 - 322 σελίδες
...required. 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... | |
 | Elias Loomis - 1879 - 398 σελίδες
...negative. 61. Hence, for the multiplication of polynomials, we have the following general RtJLE. tiplier, and add together all the partial products, observing...like signs require + in the product, and unlike signs — . EXAMPLE& 1. 2. Multiply 2a+36 a?+2ab+b2 by 4a— 5b a+b Partial (8a2+12o6 a3+2a2Z> + (-10a6products... | |
 | Benjamin Greenleaf - 1879 - 322 σελίδες
...24!; and the sum of these partial products is 3 a" -f- 5 ab -f- 2 /r ; the required product. Hence the following RULE. Multiply each term of the multiplicand by each term of the multiplier separately, and add lhe partial products. EXAMPLES. (2.) (3.) 3 a -f- bx — ,2y 12 a2 -f- 9 ab 5 x2... | |
 | Shelton Palmer Sanford - 1879 - 348 σελίδες
...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... | |
 | Webster Wells - 1879 - 468 σελίδες
...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.... | |
 | Alexander Wilson (M.A.) - 1879 - 228 σελίδες
...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... | |
 | James Bates Thomson, Elihu Thayer Quimby - 1880 - 360 σελίδες
...a-'д-2) x CASE II. 131. 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,... | |
| |
