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In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which...
The Elements of Algebra - Σελίδα 73
των Elias Loomis - 1856 - 268 σελίδες
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## Mathematics, Τόμος 1

Samuel Webber - 1808
...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...

## Elements of Algebra

William Smyth - 1830 - 264 σελίδες
...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,...

## Elements of Algebra: Tr. from the French of M. Bourdon, for the Use ..., Τόμος 1

Bourdon (M., Louis Pierre Marie) - 1831 - 389 σελίδες
...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 given for the...

## A Treatise on the Elements of Algebra

Bewick Bridge - 1832 - 199 σελίδες
...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....

## Elements of Algebra: Tr. from the French of M.Bourdon. Revised and Adapted ...

Charles Davies - 1835 - 353 σελίδες
...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 given for the...

## First Lessons in Algebra: Being an Easy Introduction to that Science ...

Ebenezer Bailey - 1835 - 252 σελίδες
...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...

## A Treatise on the Elements of Algebra

James Bryce - 1837 - 80 σελίδες
...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...

## Elements of Algebra

1838 - 358 σελίδες
...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 rule given for the...

## First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - 1839 - 252 σελίδες
...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, +15a26+20a...

## First Lessons in Algebra, Embracing the Elements of the Science ...

Charles Davies - 1839 - 252 σελίδες
...together two polynomials composed entirely of additive terms : Multiply successively each term of tlic multiplicand by each term of the multiplier, and add together all the products. EXAMPLrls. 1. Multiply ..... 5a-+ 4sJ-f-62 by ...... 2a + 5b The product, after reducing,...