l^S ALGEBRA. 



CASE I. 

 When both the Jactors ar& jimple quantities. 

 ^ITLE. 



Multiply the coefficients of the two terms together, to 

 the product annex all the letters of the terms, and prefix 



the proper sign. 



EXAMPLES, 



I. 2 3. 4. 5. 



Multiply a — 33 ^ab — ^cd — a 



by •« br ••, — '2c 3 '• — 4A? h 



Product ab -\-6bc izab -{*20cdx — c 



6. Multiply 



1. IV/jen -{-« is to he multipled by -{-b ; it implies, that -f-^r is 

 to be taken as many times, as there are units in b ; and since the 

 sum of any number of affirmative terms is affirmative, it follows, 

 that 4-^X 4-^ makes +ab. 



2. W/jen ttvo quantities are to he multiplied together ; the result 

 will be exactly the same, In whatever order they are placed ; for 

 a times b is the same as b times a ; and therefore, when — a is to 

 be multiplied by -f 3, or '\-h by — a^ it is the same thing as tak- 

 ing — a as many times as there are units in -f^ 5 ^"d since the 

 sum of any number of negative terms is negative, it follows, that 

 — a% -{-b, or -f ^x — b, makes or produces — ab, 



3. IVben — a is to be multiplied hy — b ; here — a is to be sub- 

 tracted as often as there are units in b ; but subtracting negatives 

 is the same as adding affirmatives, by the demonstration of the 

 rule for subtraction 5 consequently the quotient is b times a, or 

 -i-ab. 



Otherwise. 



