...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,...

...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...

...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....

...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...

...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...

...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...

...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...

...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,...

...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...