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Ejercicio 21

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CAPITULO II

Resta de Polinomios
Ejercicio 21
De:
  1. a+brestara–b a +b – a +b ¯ ⇒ cambiamoselsignodelsustraendo 2b
  2. 2x–3yrestar–x+2y 2x–3y x–2y ¯ 3x–5y
  3. 8a+brestar–3a+4 8a+b 3a–4 ¯ 11a+b–4


  4. x–y+zrestarx–y+z x–y+z – ( x–y+z ) ¯ 0
  5. x+y–zrestar–x–y+z x+y–z x+y–z ¯ 2x+2y+2z
  6. x 2 + y 2 –3xyrestar– y 2 +3 x 2 –4xy x 2 –3xy+ y 2 –3 x 2 +4xy+ y 2 ¯ –2 x 2 +xy+2 y 2

  7. y 2 +6 y 3 –8restar2 y 4 –3 y 2 +6y 6 y 3 + y 2 –8 –2 y 4 +3 y 2 –6y ¯ –2 y 4 +6 y 3 +4 y 2 –6y–8


  8. a+b+c–drestar–a–b+c–d a+b+ c – d a+b– c + d ¯ 2a+2b
  9. ab+2ac–3cd–5derestar–4ac+8ab–5cd+5de ab+2ac–3cd–5de –8ab+4ac+5cd–5de ¯ –7ab+6ac+2cd–10de
  10. x 3 –9x+6 x 2 –19restar–11 x 2 +21x–43+6 x 3 x 3 +6 x 2 –9x–19 –6 x 3 +11 x 2 –21x+43 ¯ –5 x 3 +17 x 2 –30x–24

  11. 5 m 3 –9 n 3 +6 m 2 n–8m n 2 restar14m n 2 –21 m 2 n+5 m 3 –18 5 m 3 +6 m 2 n–8m n 2 –9 n 3 – 5 m 3 +21 m 2 n–14m n 2 +18 ¯ 27 m 2 n–22m n 2 –9 n 3 +18
  12. 4 x 3 y–19x y 3 + y 4 –6 x 2 y 2 restar– x 4 –51x y 3 +32 x 2 y 2 –25 x 3 y 4 x 3 y–6 x 2 y 2 –19x y 3 + y 4 x 4 +25 x 3 y–32 x 2 y 2 +51x y 3 ¯ x 4 +29 x 3 y–38 x 2 y 2 +32x y 3 + y 4

  13. – a 5 b+6 a 3 b 3 –18a b 5 +42restar–8 a 6 +9 b 6 –11 a 4 b 2 –11 a 2 b 4 – a 5 b+6 a 3 b 3 –18a b 5 +42 8 a 6 +11 a 4 b 2 +11 a 2 b 4 –9 b 6 ¯ 8 a 6 – a 5 b+11 a 4 b 2 +6 a 3 b 3 +11 a 2 b 4 –18a b 5 –9 b 6 +42
  14. 1– x 2 + x 4 – x 3 +3x–6 x 5 restar– x 6 +8 x 4 –30 x 2 +15x–24 1+3x– x 2 – x 3 + x 4 –6 x 5 24–15x+30 x 2 –8 x 4 + x 6 ¯ 25–12x+29 x 2 – x 3 –7 x 4 –6 x 5 + x 6
  15. –6 x 2 y 3 +8 x 5 –23 x 4 y+80 x 3 y 2 –18restar– y 5 +9x y 4 +80–21 x 3 y 2 –51 x 4 y –6 x 2 y 3 +80 x 3 y 2 –23 x 4 y+8 x 5 –18 y 5 –9x y 4 +21 x 3 y 2 +51 x 4 y–80 ¯ y 5 –9x y 4 –6 x 2 y 3 +101 x 3 y 2 –28 x 4 y+8 x 5 –98
  16. m 6 –8 m 4 n 2 +21 m 2 n 4 +8–6m n 5 restar–23 m 5 n+14 m 3 n 3 –24m n 5 +8 n 6 –14 m 6 –8 m 4 n 2 +21 m 2 n 4 –6m n 5 +8 23 m 5 n–14 m 3 n 3 +24m n 5 –8 n 6 +14 ¯ m 6 +23 m 5 n–8 m 4 n 2 –14 m 3 n 3 +21 m 2 n 4 +21m n 5 –8 n 6 +22

  17. 9 a 6 –15 a 4 b 2 +31 a 2 b 4 – b 6 +14restar25 a 5 b–15 a 4 b 2 +53 a 3 b 3 –9a b 5 +3 b 6 9 a 6 – 15 a 4 b 2 +31 a 2 b 4 – b 6 +14 –25 a 5 b+ 15 a 4 b 2 –53 a 3 b 3 +9a b 5 –3 b 6 ¯ 9 a 6 –25 a 5 b–53 a 3 b 3 +31 a 2 b 4 +9a b 5 –4 b 6 +14
  18. a x + a x+1 – a x+2 restar5 a x –6 a x+1 – a x+2 a x + a x+1 – a x+2 –5 a x +6 a x+1 + a x+2 ¯ –4 a x +7 a x+1
  19. m a – m a–1 +3 m a–2 restar3 m a+1 –4 m a +5 m a–2 +8 m a–3 m a – m a–1 +3 m a–2 –3 m a+1 +4 m a –5 m a–2 –8 m a–3 ¯ –3 m a+1 +5 m a – m a–1 –2 m a–2 –8 m a–3


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