Algebra for Beginners with numerous examples . + a. 34. a;-2o. 35. a;-?/. XIII. 1. 12a6. 2. 36a6c3. 3. 24a»5*j:3!/».4. (a + &)(rt-6)». 5. 12ad(a» + 6»). 6. (a + &) (a- 63).7. (ar + l)(a; + 3)(j?-4). 8. (a; + 2)(a:+4)(a;* + 3a? + l)i 9. a;(+l)(3j;-l)( + 3). 10. (a:2-5a;4-6)(ar-l)(j?-4). 11. (V + 3j; + 2)(.r-3)(a;+5). 12. (a;» + a;+l)(a;*+l)(a:+l)(j?-l). 13. (a:-ar»-4a; + 4)(ar-l)(.«-4). 14. (x* - <r j; + a) (a:* + + a) (a; - a). 15. ZQa?l^<^. 16. 120(a + 6)\a-6)». ANSWERS. 309 17. 24()(a» + &3). 18. \OMV[a + h){a-h). 19. x^-\. 20. x^ J 21. a;-l. 22. (x+l)(;c + 2)(a
Algebra for Beginners with numerous examples . + a. 34. a;-2o. 35. a;-?/. XIII. 1. 12a6. 2. 36a6c3. 3. 24a»5*j:3!/».4. (a + &)(rt-6)». 5. 12ad(a» + 6»). 6. (a + &) (a- 63).7. (ar + l)(a; + 3)(j?-4). 8. (a; + 2)(a:+4)(a;* + 3a? + l)i 9. a;(+l)(3j;-l)( + 3). 10. (a:2-5a;4-6)(ar-l)(j?-4). 11. (V + 3j; + 2)(.r-3)(a;+5). 12. (a;» + a;+l)(a;*+l)(a:+l)(j?-l). 13. (a:-ar»-4a; + 4)(ar-l)(.«-4). 14. (x* - <r j; + a) (a:* + + a) (a; - a). 15. ZQa?l^<^. 16. 120(a + 6)\a-6)». ANSWERS. 309 17. 24()(a» + &3). 18. \OMV[a + h){a-h). 19. x^-\. 20. x^ J 21. a;-l. 22. (x+l)(;c + 2)(a; + 3). 23. (a; + l)(a: + 2)(.« + 2a;-3). 24. («^-19a;-30)(:c + 5a;+10). XIV. 1. 3a;+^. 2. 4ac+$. 3. 2a+^.7 9 4a 4. 2a;-^. 5. x+~^. 6. 2;?;-â-,r. 6j7 ^ + 3 x-Z 3rt 2^ â 1 7. a; + 3a;»+3a+âr-. 8. x-\- xâ2a x â x + l 2 4a 9. «3 + ; + ;j, + 10. ar^-ar^ + a;-!. 11. -r. arâ1 36 12 r-_^ 13 3(^-&) 3(a + &) ⢠2(a + 6) 4a; 3a + 2& 10. ;r- . 10. âT . 3y a + & 4(a + &)S. â, ,, . o o(a âo). 310 ANSWERS. 9;r* ,. 4(^-1) a{x+a) a (a;^ + aa; + a) x^ + ax + a^ a;âc 40. (a;âa) (a? - 6) (a?âc) _. 6a-6b-c o 2ff a2 + 2a5-& AVi. 1. z . 2. â5â75. 3. 5âr^â. 2cb ^ a+h + c â 1 ^ 12aT 4. --^-^. 6. â-^-â. 6, . 7. o2-&2- ⢠abc ° a;-y l-9x^a-^x a + b 4a 2a- + 9c^ ao? 2a â2b a-\-x Qac ^. 13.^-^^. 14. ^^Z\.. 15. ^« a-&* a^-&» ⢠a-(4a:=-l)* ^â¢(a;-2)(a? + 2)« 16. -^t-t;;. 17. 1 i . 18. a2-62 ⢠a*-a:* * ° {x + \){x + 2){x + ^y 5x^-7x 40^ 2x^ 2.^ *^- (ar2-l)(ar-2)* y{x^-y^) ^l-a^ a?-\ 2d^ 2a* + 6a262 3j?2 ^^ ar(a;2-a)- ^ a*-6* * ^ 5^^* 4a^(a-aa; + a;2) 4 (a;+ 10) 2a;»-9a; + 44 ^^- ^iF::^ ⢠^^- x*-16 ⢠^^- a:3 + 64 ⢠ââ a:^ â4aarâa* ââ 2a â, , ââ a:2_2^ 29. -^r-^â,,â-. 30. -2 j. 31. 1. 32. â3â-r-. 33. 0. (a; - aPf x^âa* a:* +1 o. 6 â. 1 ,. _2ar«^ ** ⢠a?(a;+l)(ar + 2)* * {\+x^){\+afiy *⢠a^« + j/» 37. _??^. 38. -^⢠+ - 39 il^^^flz^/)^ x^ â y^ x*-\-x-+l a*x* â b^y* 40. -sâ:âr.
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