| Lewis Hensley - Algebra - 1875 - 274 pages
...(2) -5X-6. (3) 2 X 80. The general rule for the multiplication of two expressions will now be : — **Multiply each term of the multiplicand by each term of the multiplier** in succession, determining the sign of every product by the Rule of Signs ; then collect the terms,... | |
| Edward Olney - Algebra - 1877 - 466 pages
...5xy by — x'y1 . 16. To multiply two factors together when one or both are polynomials. R ULE. — **MULTIPLY EACH TERM OF THE MULTIPLICAND BY EACH TERM OF THE MULTIPLIER, AND ADD THE** PRODUCTS. Ex. 1. Multiply 2a'x — 3by + 4 m by Za'b'm. OPERATION. — It is immaterial 2a2z — Sby... | |
| Benjamin Greenleaf - Algebra - 1877 - 662 pages
...sum of these - partial products is3a'-|-Soi-|"2^! the required product. Hence the following К ULE. **Multiply each term of the multiplicand by each term of the multiplier** separately, and add the partial products. EXAMPLES. (2.) (3.) 4« 3a + + 3 b 1, 5x X + 3у - 2у •... | |
| Edward Olney - Algebra - 1878 - 516 pages
...Sc'd1 by- ab; - 5xy by - x'y\ 10. To multiply tivo factors together whtn one or both are polynomials. **RULE. — MULTIPLY EACH TERM OF THE MULTIPLICAND BY EACH TERM OF THE MULTIPLIER, AND ADD THE** PRODUCTS. Ex. 1. Multiply 2a'x — Sby+lmby Za'Fm. OPERATION. — It is immaterial 2a2^ — Sby + 4m... | |
| Edward Olney - 1878 - 360 pages
...completed. 84. Prob. — To multiply two factors together when one or both are polynomials. R ULE. — **MULTIPLY EACH TERM OF THE MULTIPLICAND BY EACH TERM OF THE MULTIPLIER, AND ADD THE** PRODUCTS. DEM. — Thus, if any quantity is to be multiplied by a + b — c, if wo take it a tunes... | |
| James Bates Thomson - Algebra - 1878 - 322 pages
...required. 98. The various principles developed in the preceding cases, may be summed up in one GENERAL **RULE. Multiply each term of the multiplicand by each term of the multiplier,** giving each product its proper sign, and each letter its proper exponent. The sum of the partial products... | |
| Horatio Nelson Robinson - Algebra - 1879 - 332 pages
...adding the partial products. Hence Entire Product, 2a2 + 5a5 + 36s the RULE. — Multiply all the terms **of the multiplicand by each term of the multiplier, and add the partial products.** ENTIRE QUANTITIES. EXAMPLES FOR PRACTICE. Multiply By Product, Multiply By Product, Multiply By Product,... | |
| Benjamin Greenleaf - Algebra - 1879 - 322 pages
...sum of these partial products is 3 a" -f- 5 ab -f- 2 /r ; the required product. Hence the following **RULE. Multiply each term of the multiplicand by each term of the multiplier** separately, and add lhe partial products. EXAMPLES. (2.) (3.) 3 a -f- bx — ,2y 12 a2 -f- 9 ab 5 x2... | |
| Webster Wells - Algebra - 1879 - 468 pages
...to the first. On this we base the following rule for finding the product of two polynomials. BULE. **Multiply each term of the multiplicand by each term of the multiplier,** remembering that like signs produce +, and unlike signs produce — , and add the partial products.... | |
| Alexander Wilson (M.A.) - 1879 - 228 pages
...multiplier and multiplicand are both compound expressions, the product will be found by multiplying **each term of the multiplicand by each term of the multiplier, and** combining the terms of these partial products. Ex. (i.) Multiply a2 - 3a + 2 by 2a - 4. a2- 3a + 2... | |
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