 | Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...CX-\-Cy CZ Entire Product, ax — ay-\-az-\-bx — by-\-bz — cx-\-cy — cz Hence the following general RULE. Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products. EXAMPLES FOR PRACTICE. (2.) (3.) 5x'y+Zxy* 4a'm—3ccP (5.) 12x*+ 8xy... | |
 | George Augustus Walton - Arithmetic - 1864 - 364 pages
...ft. 7' 6". Hence the RULE FOR MULTIPLICATION OF DUODECIMALS. Beginning with the lowest denomination, multiply all the terms of the multiplicand by each term of the multiplier separately; divide each product by 12 (except when the product is feet); write the remainder, and reserve... | |
 | George Augustus Walton - Arithmetic - 1864 - 376 pages
...ft. 7' 6". Hence the RULE FOR MULTIPLICATION OF DUODECIMALS. Beginning with the lowest denomination, multiply all the terms of the multiplicand by each term of the multiplier separately; divide each product by 12 (except when the product is feet); write the remainder, and reserve... | |
 | Robert Wallace - 1870 - 164 pages
...following rule, when both multiplicand and multiplier are polynomials. RULE.— Multiply every term of the multiplicand by each term of the multiplier...the product of any two terms with the sign plus when the signs are alike, and with the sign minus when the signs are uulike ; and the algebraic sum of these... | |
 | Horatio Nelson Robinson - Algebra - 1872 - 436 pages
...Eati« Product, ax — ay-{-az-\-bx — by-\-bz — cx-j-cy — c* Hence the following general KULE. Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products. EXAMPLES FOE PKACTICE. (1.) (2.) (3.) За — 2¿ic бх'у+Зху*... | |
 | Horatio Nelson Robinson - Algebra - 1874 - 340 pages
...ЬУ a and * separately, and Entire Product, ~2а2 + 5a6 + 362 adding the partial products. Hence the RULE. Multiply all the terms of the multiplicand by each term, of the multiplier separately, and add the partial products. EXAMPLES FOR PRACTICE. (5.) Multiply a+ b + с By x + у... | |
 | Horatio Nelson Robinson - Algebra - 1875 - 338 pages
...Product by *, + 2ab + 3S2 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 —... | |
 | George Augustus Walton - 1876 - 358 pages
...ft. 7' 6". Hence the RULE FOB MULTIPLICATION OF DUODECIMALS. Beginning with the lowest denomination, multiply all the terms of the multiplicand by each term of the multiplier separately ; divide each product by 1 2 (except when the product is feet) ; write the remainder, and... | |
 | Horatio Nelson Robinson - Algebra - 1879 - 332 pages
...and Product by J, + 2a5 + 363 adding the partial products. Hence Entire Product, 2a2 + 5a5 + 36s the RULE. — Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products. ENTIRE QUANTITIES. EXAMPLES FOR PRACTICE. Multiply By Product, Multiply... | |
 | Charles Scott Venable - Algebra - 1880 - 168 pages
...2xу'. 8. Зx' - 2x" + 4ж" by — 7ж'. 18. То multiply а polynomial by a polynomial. Kille. — Multiply all the terms of the multiplicand by each term of the multiplier. Then add these products. Ex. 1. Ex. 2. Ex. 3. За + 2o x + 3 a' + 2x' 5a - 4o x - 2 За' + x' 15a'... | |
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Hence, for the multiplication of polynomials we have the following RULE. Multiply all the terms of the multiplicand by each term of the multiplier, observing that like signs give plus in the product, and unlike signs minus. 
