| Mathematics - 1808
...8^a — yx by — 2x* 3xy* Product CASE III. When both the factors are compound quantities. / RULE. **Multiply each term of the multiplicand by each term of the multiplier** ; then add all the products together, and the sum will be the product required. EXAMPLES. 1. 2. Multiply... | |
| William Smyth - Algebra - 1830 - 264 pages
...From what has been done we have the following rule for the multiplication of polynomials, viz. 1°. **Multiply each term of the multiplicand by each term of the multiplier,** observi»g with respect to the signs, that if two terms multiplied together have each the same sign,... | |
| Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 389 pages
...order to multiply together two polynomials composed entirely of additive terms, multiply successively **each term of the multiplicand by each term of the multiplier, and add** together all the products. If the terms are affected with coefficients and exponents, observe the rule... | |
| Bewick Bridge - Algebra - 1832 - 199 pages
...Ex. 4. 12a3— 2aa+4a— 1 Ex.6 4x' — 3xy CASE III. When both/actors are compound quantities. 22. **Multiply each term of the multiplicand by each term of the multiplier,** placing like quantities under each other: the sum of all the terms will be the product required. Ex.... | |
| Charles Davies - Algebra - 1835 - 353 pages
...order to multiply together two polynomials composed entirely of additive terms, multiply successively **each term of the multiplicand by each term of the multiplier, and add** together all the products. If the terms are affected with co-efficients and exponents,observo the rule... | |
| Ebenezer Bailey - Algebra - 1835 - 252 pages
...algebraic quantities. To facilitate practice, they will now be repeated together. 1. MULTIPLICATION. **Multiply each term of the multiplicand by each term of the multiplier.** &. SIGNS. When loth terms have the same sign, the product has the sign -f- ; but when they have different... | |
| James Bryce - 1837
...7. CASE III. When both multiplier and multiplicand are compound quantities. RULE. 38. Multiply every **term of the multiplicand by each term of the multiplier, and add the** several products thus obtained. It is obvious from the note to page 22, and from Art. 11, that to multiply... | |
| Bourdon (Louis Pierre Marie, M.) - Algebra - 1838 - 355 pages
...order to multiply together two polynomials composed entirely of additive terms, multiply successively **each term of the multiplicand by each term of the multiplier, and add** together all the products. If the terms are affected with co-efficients and exponents, observe the... | |
| Charles Davies - Algebra - 1839 - 252 pages
...order to multiply together two polynomials composed entirely of additive terms : Multiply successively **each term of the multiplicand by each term of the multiplier, and add** together all the products. EXAMPLES. 1. Multiply ..... 3a2+ by ..... , 2o +56 The product, after reducing,... | |
| Augustus De Morgan - Arithmetic - 1840 - 166 pages
...three examples may be collected the following rule for the multiplication of algebraic quantities : **Multiply each term of the multiplicand by each term of the multiplier** ; when the two terms have both + or both — before them, put •+• before their product ; when one... | |
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