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Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Elements of Algebra - Page 28
1838 - 355 pages

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

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...the multiplicand, and add together the partial products. Hence, (a+b+c) (d+f)=ad + bd+cd + af+bf+cf. Therefore, in order to multiply together two polynomials...the rule given for the multiplication of monomials. (No. 16.) For example : (3a3+4a b + b3) (2a + 5b) gives for a product 6a3 + 8a3 b + 2ab3 + 15 a3 b...

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

Charles Davies - Algebra - 1835 - 378 pages
...multiplican<l,/times, and add together the partial products. Hence, (a+b+c) (d+f)=ad+bd+cd+af+bf+cf. Therefore, in order to multiply together two polynomials...products. If the terms are affected with co-efficients and exponents,observo the rule given for the multiplication of monomials (Art. 41). For example, multiply...

## Treatise on the elements of algebra

James Bryce - Algebra - 1837 - 322 pages
...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...

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

Charles Davies - Algebra - 1839 - 272 pages
...Multiplicand ....... a+6+c Multiplier ........ d+f taken d times ....... ad-\-brl-\-cd taken/times ........ -\-af-\-bf-\-cf entire product .... ad+bd+cd+af+bf+cf....the multiplier, and add together all the products. EXAMPLES. 1. Multiply ..... 3a2+ by ..... , 2o +56 The product, after reducing, +15a26+20a becomes...

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

Charles Davies - Algebra - 1839 - 264 pages
...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, +15a26+20a62+563...

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

Charles Davies - Algebra - 1841 - 264 pages
...a+J+c Multiplier ........ d+f taken d times ....... ad-\-bd-\-cd taken/times ........ -\- of -\-bf-\-cf entire product .... ad+bd+cd+af+bf+cf. Therefore,...the multiplier, and add together all the products. EXAMPLES. 1. Multiply ..... 3a2+ 4aJ+42 by ...... 2a + 5J 6a3+ 8a2J+2aJ2 The product, after reducing,...

## Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...entire product . . ad+bd+cd+af+bf+cf. Therefore, in order to multiply together two polynomials com posed entirely of additive terms, multiply successively...multiplication of monomials (Art. 41). For example, multiply . . 3a 2 +4ai+i 2 by .... 2a +5b 6o 3 + The product, after reducing, + I5a2b+20ab 2 +5b 3 becomes ....

## Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...required to take the multiplicand as many times as there are units in d and/. Multiplicand ....... a+6+c Multiplier ........ d-\-f taken d times ....... ad+bd+cd...the multiplier, and add together all the products. EXAMPLES. 1. Multiply ..... 3a2+ 4a6+62 by ...... 2a + 5b _ 6a3+ 8cPb+2abz The product, after reducing,...