...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 : 4....

...this equals Hence, for the multiplication of a polynomial by a polynomial, we have the following Bule. Multiply each term of the multiplicand by each term of the multiplier, and find the sum of the several products. 2. Multiply За2 — 2а6 + 462 by 2a — 3b. 3 a* — 2 а...

...+ bm + 6n + bp + cm -f- en + cp. To find the product of two polynomials, therefore, Multiply every term of the multiplicand by each term of the multiplier, and add the partial products. 88. In multiplying polynomials, it is a convenient arrangement to write the multiplier...

...Hence, for the multiplication of a polynomial by a polynomial, we have the following Rule. Midtiply each term of the multiplicand by each term of the multiplier, and find the sum of the several products. 2. Multiply Зa2 — 2 a ¿ + 4 ¿2 by 2 a — 3 ¿. Зa2—...

...х - 25 z10 + 2 а? + 7 z6 - 8 х4 - 3 х8 - 15 ж8 + 10 хг - 5 а; -25 Explanation. Multiplying each term of the multiplicand by each term of the multiplier and connecting these results with their proper signs, we have x10 — x9 + 2 xe — x6 — 5 x* + 3 z9...

...2. 3a^ -2ж +1 3я?.+ 4 ж4 + 6ж3- 4ж2 + 3x То multiply a polynomial by a polynomial, multiply the multiplicand by each term of the multiplier, and add the products. How is the first term of the product obtained ? How is the last term obtained ? The polynomials being...

...partial products, we 2a2 + ab - 662, Ans. have 2aJ + 06 - 66Z. From this example we derive the following RULE. Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. m2 + 2mn + w2, ^4ns. m2 — 2mn + n2 m'1 5. 6. a4 + rt'6 + a262 x*-x« + z4 - o,36...

...placing terms of the same order in the same column, and draw a line beneath. II. Begin at the right, and multiply each term of the multiplicand by each term of the multiplier, writing the first term of each product under the term of the multiplier used to obtain it. III. Add...

...За Зx-iy2 6a + 3&3-4c2 -3г 5cPe POLYNOMIALS BY POLYNOMIALS. 59. RULE. — Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products. 1. 6ж — 3y 24 a? -12 я?у 2. а-b — b3e + c4d + аbс ab!c4d - bV + bc'd +...

...polynomial according to the ascending or descending poicers of the same letter. Multiply all the terms of the multiplicand by each term of the multiplier, and add the several partial products. NOTE. In multiplying, observe carefully the laws of the signs. EXERCISES....