\fdO'^ - Old Forge Coal Mines

ALGEBRA. 109
(3 4- 2x){2 4- ;r) - (2 - dx){2 - x) - {\(Sx - x^) _
^
{Q + tx + 2;r*) - (4 - 8^ + 3.r') - {Ux - x*)
4 — ;tr"
Removing the parentheses (Art. 406), we have
6 +lx + 2.y' - 4 + 8.y - 3;tr* - HiX -f- x^
4:-X'
Combining like terms in the numerator, we have
2-x
4:-x'''
Factoring the denominator by Art. 463, we have
2-x
(2 + ^)(2-,r)-
Canceling the common factor (2 — jr), the result equals
(207) {a)
, or — ^. Ans. (Art. 373.)
2 + x' x-\-2'
, , „ 4:X-4: 5X + lOx' - 4:X + 4: lOX^ + X + l + 2.r = = = — = — .
5x 5x 5x
4: .
Ans.
(Art. "604.)
3^ + 2-r+1
^3^_.^Q _41 ^^g
X (Art. 505.) '
-\- 4: X -\- 4:
;r + 4 ) 3^-' + 2;i: + 1 ( 3;ir - 10 + ^^
3ar' + 12;t'
- lOx + 1
- \^x - 40
41
(r) Reducing, the problem becomes
Factoring, we have
^' + 4^ — 5 - .tr 7
^ "
;i^
;f - 8;r + 7'
(^ + 5)(;r-l)
^
4r4-4
.y-7
;^» ^(^-l)(^-7)'
Canceling common factors, the result equals ^
. Ans.