...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...

...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,...

...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....

...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...

...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...

...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...

...Note. — The foot is considered as the unit, and has no index. 336. From these illustrations we have the following RULE FOR MULTIPLICATION OF DUODECIMALS....write the first figure of each partial product one or more places to the right, under its corresponding denomination. (Art. 335.) III. Finally, add the...

...Note. — The foot is considered as the unit, and has no index. 336. From these illustrations we have the following RULE FOR MULTIPLICATION OF DUODECIMALS....write the first figure of each partial product one or more places to the right, under its corresponding denomination. (Art. 335.) III. Finally, add the...

...MULTIPLICATION OP DUODECIMALS. 1. Place the several terms of the multiplier under the carresponding terms of the multiplicand. II. Multiply each term...multiplier, and write the first figure of each partial pro lucl one or more places to the right, under its corresponding deiiomination. (Art. 335.) III. Finally,...

...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...