...2z/2 — 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...

...1. Place the several terms of the multiplier under the carresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier separately, beginning with the. lowest denomination in the multiplicand, and the highest in the multiplier, and...

...1. Place the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier separately, beginning with the lowest denomination in the multiplicand, and the highest in the multiplier, and...

...1. Place the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier separately, beginning with the lowest denomination in the multiplicand, and the highest in the multiplier, and...

...times ; that is, the units in b repeated c times must be added to the units in a repeated also c times. Hence we deduce the following RULE. Multiply each term of the multiplicand separately by the multiplier, and add together the products. EXAMPLES. Multiply By 4a 4r xy Product...