| William J. Milne - 1899 - 172 σελίδες
...+ 6 = a'2 + a6 6 times a + b = ab + Ift (a + 6) times (a + 6) = a2 + 2 ab + 6" RULE. Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. 2. 3. 2 ab - 3 ca? x — y ;26'2- lOa6c-Sc2 & Multiply : 4. x + ybyx + y. 17. 5m — 4n by 4m + 5y.... | |
| Seymour Eaton - 1899 - 362 σελίδες
...Algebraic Multiplication (Continued) To multiply one compound expression by another, multiply each term of the multiplicand by each term of the multiplier, and add results for the complete answer. To find the product of a + b and c + d. (o+6) x(c + d) = (a + 6) (c+d)... | |
| George Edward Atwood - 1900 - 276 σελίδες
...RULE. — Arrange the multiplicand and multiplier with reference to the same letter. Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. EXAMPLES. 2- 3a263+ 2o64 +26* b3 — 6a464+ - 8a464+ a —b +2 c +x -3 ac — bc + 2c + ax — bx +... | |
| James Morford Taylor - 1900 - 504 σελίδες
...2\3ab-4:a(c-2b')l. 23. 7ac-2{2c(a-3&)-3(5c-2Z»)a|. 79. To multiply one polynomial by another, Multiply each term of the multiplicand by each term of the multiplier, and add the resulting products. Proof. Let x + y + z be the multiplicand, and a + b the multiplier ; then by successive... | |
| George Egbert Fisher, Isaac Joachim Schwatt - 1900 - 200 σελίδες
...example illustrates the following inethod of multiplying a multinomial by a multinomial : Multiply each term of the multiplicand by each term of the multiplier, and add algebraically the resulting products. In general, (a + 6) (e + d - e) = a (c + d - e) + b(c + d - в)... | |
| George Egbert Fisher - 1900 - 438 σελίδες
...example illustrates the following method of multiplying a multinomial by a multinomial : Multiply each term of the multiplicand by each term of the multiplier, and add algebraically the resulting products. In general, (a + 6) (c + d — e) = a (c + d — e) + b (с +... | |
| William James Milne - 1901 - 476 σελίδες
...+ r(a + &) §§82,85, =ap + bp + aq + bq + ar+br § 55, = ар + щ + ar + bр + bq + br. BULE. — Multiply every term of the multiplicand by each term of the multiplier, and find the algebraic sum of the partial products. EXAMPLES Ï. Multiply я? — xy by 2 x + 3y. PROCESS... | |
| George Egbert Fisher, Isaac Joachim Schwatt - 1901 - 664 σελίδες
...article is derived the following principle for multiplying a multinomial by a multinomial : Multiply each term of the multiplicand by each term of the multiplier, and add algebraically the resulting products. Ex. 1. Multiply -3a + 2b by 2a-3b. We have (-3a + 26)(2a- 36)... | |
| George Egbert Fisher - 1901 - 622 σελίδες
...example illustrates the following method of multiplying a multinomial by a multinomial : Multiply each term of the multiplicand by each term of the multiplier, and add algebraically the resulting products. In general, (a + *)(c + </- e) = a(c + d- e) + b(c + </-e) =... | |
| Louis Parker Jocelyn - 1902 - 460 σελίδες
...by fi^frV*, and check. 100. PROBLEM 3. To multiply a polynomial by a polynomial. Rule. Multiply each term of the multiplicand by each term of the multiplier, and add the partial product». Dem. This is the most general case of law C, ie, (a + b + c)x = ax + bx + ex. Since x may... | |
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