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\fdO'^ - Old Forge Coal Mines

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ALGEBRA. 105<br />

(198)<br />

a» - a» - 2a - 1 ) 2a« - 4a» - 5a* + 3fl» + 10a* + 7a 4- 3 ( 2a» - 2a» - 3a - 2<br />

2a« — 2a* — 4a* — 2a» Ans.<br />

-2a*- a* + 5a3 + 10a«<br />

— 2a* + 2a* + 4a» + 2a»<br />

-3a»+ a« + 8a» + 7a<br />

— 3a* 4- 3a3 + 6a« + 3a<br />

— 2a» 4- 2a« + 4a + 2<br />

— 2a3 4- 2a« + 4a + 2<br />

(199) (a) Factoring according to Art. 452, we have<br />

^y {x' — 64). Factoring {x" — 64), according to Art. 463,<br />

we have<br />

{x* + 8) {x' - 8).<br />

Art. 466, rule. ;tr' + 8 = (^ + 2) {x"" - %x + 4).<br />

Art. 466, rule, x* -^={x - 2) {x^ + 2.r + 4).<br />

Therefore, xY — 64^y = xy {x + 2) (-r'-2^+4) (^'—2)<br />

{x' + 2.r + 4), or xy {x + 2) {x - 2) {x' +2^+4)<br />

(V -2x+4). Ans.<br />

(/^) a' — d" — c' -\-l — 2^ + 2

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