| Samuel Webber - Mathematics - 1808 - 466 pages
...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 - 278 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,... | |
| Bewick Bridge - Algebra - 1832 - 220 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.... | |
| Ebenezer Bailey - Algebra - 1835 - 258 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... | |
| Augustus De Morgan - Algebra - 1840 - 186 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... | |
| Admiralty - 1845 - 152 pages
...Mult. 2-- by V Ans. 29. W^ew <Ae multiplicand or multiplier, or both of them, consist of several terms. Multiply each term of the multiplicand, by each term of the multiplier. Place the products together with their proper signs. EXAMPLES. a-\-bx Multiplied by x is ax+bx* 4x—3y... | |
| James Bates Thomson - Arithmetic - 1846 - 354 pages
...these illustrations we have the following RULE FOR MULTIPLICATION OF DUODECIMALS. 1. Place the several terms of the multiplier under the corresponding terms...multiplicand, and the highest in the multiplier, and write the first figure of each partial product one or more places to the right, under its corresponding denomination.... | |
| James Bates Thomson - Arithmetic - 1846 - 362 pages
...MULTIPLICATION OP DUODECIMALS. 1. Place the several terms of the multiplier under the carresponding terms of the multiplicand. II. Multiply each term...multiplicand, and the highest in the multiplier, and write the first figure of each partial pro lucl one or more places to the right, under its corresponding deiiomination.... | |
| Elias Loomis - Algebra - 1846 - 376 pages
...has the sign minus: (55.) The following rule then comprehends the whole doctrine of multiplication. Multiply each term of the multiplicand, by each term of the multiplier, and add together all the partial products, observing that like signs require + in the product, and... | |
| Elias Loomis - Algebra - 1846 - 380 pages
...has the sign minus: (55.) The following rule then comprehends the whole doctrine of multiplication. Multiply each term of the multiplicand, by each term of the multiplier, and add together all tht partial products, observing that like signs require + in the product, and... | |
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