...d was ac — be — aci + 6d. We have then the following rule for the product of two polynomials : Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. EXAMPLES. 1. Multiply Зa — 26 by 2a — 56. In accordance with the...

...d was аc — be — ad + &d. We have then the following rule for the product of two polynomials : Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. EXAMPLES. 1. Multiply За — 2& by 2 а — 5&. In accordance with...

...is equal to the sum of the indices of those factors; thus: 7'x8'=56"; 4" x 5"'=2(X"". RULE. I. Write the several terms of the multiplier under the corresponding...of the multiplicand by each term of the multiplier, beginning with the lowest term in each, an I call the product of any two denominations the denomination...

...those factors; thus: 7'x8'=56"; 4" x5'"=20""'. RULE. I. Write the several terms of the multiplier undef the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term Oj the multiplier, beginning with the lowest term in each, and call the product of any two denominations...

...bc+bd (Art. 33). . . (4) Hence, to multiply one polynomial by another, we have the following RULE. Multiply each term of the multiplicand by each term of the multiplier; if the terms multiplied together have the same sign, prefix the sign + to the product, if unlike, prefix...

...partial 2a2 — ab products, we have 2a2+3a6- 262. Therefore, etc. +4a6-26' 2a2 + 3a6-26« Rule. — Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. a — 6 a +6 a2-a6 +a6-62 a3 -62 (6.) an-6" a2-6' a8 -62 an+Ja"68-a26"+6"+3...

...by-\-bz. Hence, for the multiplication of a polynomial by a polynomial, we have the following Ru1e. • Multiply each term of the multiplicand by each term of the multiplier, and find the sum of the several products. 2. Multiply 2 x2 + 3 xy — if by 3 x — 2 y. 2x* + 3xy...

...Polynomials. By Art. 60, (1), = ac + be + ad + bd, by Art. 60, (5). "We then have the following rule : Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. 1. Multiply 3a - 2 b by 2a - 56. In accordance with the rule, we multiply...

...a + 6 а times a + b = a2 + ab b times a + b = ab + b1 (a + 6) times (a + 6) = a2 + 2 ab + 62 BULE. Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. 2. 2a6-3c 4 ab + с 8 a262- 12aftc 2 a6c - Я с2 8cW- 10 a6c -3с3 Multiply...

...a + 6 a times a + 6 = a2 + a6 6 times a + b = a6 + 62 (a + 6) times (a + 6) = a2 + 2 a6 + 62 RULE. Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. 2. 2 а6 - 3 с 4а6 + c 8a2f>2-12a6c 2 aЬc - 3 с2 8a262- 10 a6c -3с2...