46 
1. Abth. Arithmetik. Grundoperationen. 
§. 82. 
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1V. 
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„...am km a km 
Oben so k 7i y -¿0 ~~ 7 “13“ 8 “ 9 ' 
Eben so 3a—yb-1-6a —3yb -4- 1Oya—22yb ya. 
?i)islHslbbirc(a —2b)H-(3a+4b)H-(5a —6b)H-(8b+7a)Hhb. 
Eben so (a—2b+3c)-4-(5c—2a+b) + (3b-4-3a — 2c). 
Eben so (7x —3y-f-9z)+(y-f-5x—3z) -4- (2y — 6z — 12x). 
3 , 4 \ /5 3, \ 
T a + b g-cj + ^ya 7 b + c J 
7 5 \ / 3 
a — Tr b I -4- fl 7c- 
Eben so ^ 
(7 5 \ / 3 110. \ 
+ a “ 14 b J ^ V C “T a “ l4 b ) 
Eben so^x yy + -|-z ^ + {yz — 2y -4- yx ^ 
+ (* + T* - T? ). 
Man snbtrahire (7k—4g+3m —9n) —(k-l-5g—3m-4-n). 
Eben so (5p — 10+8r —4t) — (8r-+-4t—p—20-4-16o). 
Eben so (20x 2 — 13a 4 -l-4h)— (19a+21x 3 — 16h 4 -(-8g—h). 
eben s° (y p ■+■ T q + T r T 3 ) ~(tP + T 1 ) 
+ (4 r ■+■ T s ) - (tf + T' { + T r )• 
Eben so (p-f-qK— 12a-f-6q)— (4a+8q)— 10a—100q). 
4 3 
-s 
eb< " f°(n r -4 s -T t )-(t f - 3 ) “ (t s + Tt) 
eben s° (mm>-10p»+q)-(g.p» - q) - 
31 
44 
nr 
lln a -4- jyn ^8o 3 rn' 
+ (4^ - T m ‘) - 17 (t‘! - *«•’ + T m ’) 
Man mnltiplicire ^7a—12g+4k— 8m+-y ^13b. 
Eben so^5m 2 — 10n 3 +7p 4 n— 5q a i 
Ebenso^23p - -|-q - 8r ) {l01a-||b). 
Eben so (a+b)X(a+b)X(aH-b). 
Eben so (gH-b)x(g-4-b)x(g—b)X(g—b). 
Eben so (p+q) (p"4-2q) (p + 3q) (p+4q). 
Eben so (x—a) (x—b) (x — c) (x — d). 
Eben so (z-3) (z-5) (z-7) (z—9). 
Eben so (a 3 H-5a 2 b— 3ab 2 —7b 3 ) (a 2 — 2ab + b 2 ). 
Man dividire (24am—48bm-4-96cm) :12m. 
Eben so (69a 2 b 3 d— 6acd-4-45bc 2 d):3d. 
Eben so (4k 2 g—12k 3 g 2 -4-20k 4 g 3 —48k 5 g 4 );4k 2 g.