DIVISION. 2S5 



8. 



Multiply x^-\'ioxy'\-y 



— 6x^y — 60^';''— 42^;; 



-J-4X-* -\-/\oxy +23 



Product X ^ +4^' ^y—'6oxly ^^\ix^ — 2a?/)+2 8. 



9. Multiply x^ '{'X^ y-^-Xy"- -{-y^ by a: — y. 



Ans. X* — y* . 



1 o. Multiply x^+xy-^-y"" by a: ' — .v;- +;' * . 



11. Multiply 3;^' — 2;c;+5 by p:^+2.vj?— 3. 



Ans. 3^; "* -j-.v ^ j — 4A; * — /\x *;' ^ + 1 6;^; — 1 5 



12. Multiply 2«* — 3^a:-1"4^* ^Y S^^ — ^^^ — 2^''' 



Ans. lofl^ — 2']a^X'{-24a*x^ — iS^jat^ — Zx*. 



DIVISION. 



Division in Algebra, as well as in Arithmetic, is the 

 converse of multiplication, and is performed by beginning 

 at tiie left hand, and dividing all the parts of the dividend 

 by the divisor, when it can be done ; or by setting them 

 down like a vulgar fraction, the dividend over the divisor, 

 and then reducing the fraction to its lowest terms. 



In division the rule for the signs is the same as in multi- 

 plication, viz. if the signs of the divisor and dividend be 



alike. 



