...sign minus. . , (55.) The whole* doctrine of multiplication is therefore comprehended in the following RULE. Multiply each term of the multiplicand by each term of the multiplier, and add together all the partial products, observing that like signs require + in the product, and unlike signs...

...ay-\-az-\-bx — by-\-bz — cx-\-cy — cz Hence the following general RULE. Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products. EXAMPLES FOR PRACTICE. (2.) (3.) 5x'y+Zxy* 4a'm—3ccP (5.) 12x*+ 8xy 6x'+3x'y— Gxy* 10y« —Qx'y—...

...Hence the RULE FOB MULTIPLICATION. Write the multiplier under the multiplicand. Beginning at the right, multiply each term of the multiplicand by each term of the multiplier, successively, placing the right hand figure of each partial product Under the term by which you multiply,...

...Hence the RULE FOK MULTIPLICATION. Write the multiplier under the multiplicand. Beginning at the right, multiply each term of the multiplicand by each term of the multiplier, successively, placing the right hand figure of each partial product under the term by which you multiply,...

...14. Multiply x -\- y by y. .Ans. xy 4- y2. 61. To multiply one polynomial by another : Multiply every term of' the multiplicand by each term of the multiplier, and add together the several products. ! . Multiply by Product 2. Multiply by Product 3. Multiply by Product...

...terms in each ore positive, we have the following R0LE FOB MULTIPLYING ONE POLYNOMIAL BY ANOTHER. — Multiply each term of the multiplicand by each term of the multiplier, and add the products together. EXAMPLES 2. Multiply x-\-y by a-\-c. Ans. ax-\-ay-\-cx-}-cy. 3. Multiply 2x+3z by...

...2a3xy~'cv—1ax\yct—l.laxy~'c. III. (9 1 .) When both the multiplicand and multiplier are polynomials. BULB. Multiply each term, of the multiplicand by each term of the multiplier, and add the products. PROBLEM. SOLUTION. Operation. o* + ab -f 61 Multiplying a* + 06 + 6' by a gives a* + a*6...

...following GENERAL RULE, FOR THE MULTIPLICATION OF ALGEBRAIC QUANTITIES. 1. Beginning at the left hand, multiply each term of the multiplicand by each term of the multiplier, observing that like signs give plus and unlike signs give minus. 2. Add the several partial products...

...following GENERAL RULE, FOR THE MULTIPLICATION OF ALGEBRAIC QUANTITIES. 1. Beginning at the left hand, multiply each term of the multiplicand by each term of the multiplier, observing that like signs give plus and unlike signs give minus. 2. Add the several partial products...

...considering the above cases we arrive at the following rule for multiplying two binomial expressions. Multiply each term of the multiplicand by each term of the multiplier; if the terms have the same sign, prefix the sign + to their product, if they have different signs prefix...