Icono del sitio Solucionario Baldor

Ejercicio 228

Gestor Baldor
Comparte esto 👍👍
DESCARGA
CAPITULO XXX

TEORIA DE LOS EXPONENTES
Ejercicio 228
Desarrollar:
  1. ( a 1 2 + b 1 2 ) 2 = ( a 1 2 ) 2 +2 a 1 2 b 1 2 + ( b 1 2 ) 2 =a+2 a 1 2 b 1 2 +b
  2. ( x 3 4 – y 1 3 ) 2 = ( x 3 ) 2 –2 x 3 4 y 1 3 + ( – y 1 3 ) 2 = x 3 2 –2 x 3 4 y 1 3 + y 2 3
  3. ( m – 1 2 +2m ) 2 = ( m – 1 2 ) 2 +2.2 m – 1 2 +1 + ( 2m ) 2 = m –1 +4 m 1 2 +4 m 2
  4. ( a –2 b 3 – a 3 b –2 ) 2 = ( a –2 b 3 ) 2 –2 a –2+3 b 3–2 + ( – a 3 b –2 ) 2 = a –4 b 6 –2ab+ a 6 b –4
  5. ( a –1 –3 b – 3 4 ) 2 = ( a –1 ) 2 –2.3 a –1 b – 3 4 + ( –3 b – 3 ) 2 = a –2 –6 a –1 b – 3 4 +9 b – 3 2
  6. ( a –2 + b ) 2 = ( a –2 ) 2 +2 a –2 b + ( b ) 2 = a –4 +2 a –2 b +b
  7. ( x 3 4 – y – 1 2 ) 2 = ( x 3 ) 2 –2 x 3 4 y – 1 2 + ( – y – 1 2 ) 2 = x 3 –2 x 3 4 y – 1 2 + y –1
  8. ( m –2 n 1 4 – m 1 2 n –1 ) 2 = ( m –2 n 1 4 ) 2 – m –2+ 1 2 n 1 4 –1 + ( – m 1 2 n –1 ) 2 = m –4 n 1 2 – m – 3 2 n – 3 4 +m n –2
  9. ( a 1 3 + b 1 3 ) 3 = ( a 1 3 ) 3 +3 ( a 1 3 ) 2 b 1 3 +3 a 1 3 ( b 1 3 ) 2 + ( b 1 3 ) 3 =a+3 a 2 3 b 1 3 +3 a 1 3 b 2 3 +b
  10. ( x 2 3 –3 y –1 ) 3 = ( x 2 3 ) 3 –3 ( x 2 3 ) 2 ( 3 y –1 ) +3 x 2 3 ( 3 y –1 ) 2 – ( 3 y –1 ) 3 = x 2 –9 x 4 3 y –1 +3 x 2 3 .9 y –2 – 3 3 y –3 = x 2 –9 x 4 3 y –1 +27 x 2 3 y –2 –27 y –3
  11. ( m 2 3 +4 n – 3 2 ) 3 = ( m 2 3 ) 3 +3 ( m 2 3 ) 2 ( 4 n – 3 2 ) +3 m 2 3 ( 4 n – 3 2 ) 2 + ( 4 n – 3 2 ) 3 = m 2 +12 m 4 3 n – 3 2 +3 m 2 3 4 2 n –3 + 4 3 n – 9 2 = m 2 +12 m 4 3 n – 3 2 +48 m 2 3 n –3 +64 n – 9 2
  12. ( 2 a –4 –3 b – 1 2 ) 3 = ( 2 a –4 ) 3 –3 ( 2 a –4 ) 2 ( 3 b – 1 2 ) +3( 2 a –4 ) ( 3 b – 1 2 ) 2 – ( 3 b – 1 2 ) 3 = 2 3 a –12 – 3 2 . 2 2 a –8 b – 1 2 + 3 3 .2 a –4 b –1 – 3 3 b – 3 2 =8 a –12 –36 a –8 b – 1 2 +54 a –4 b –1 –27 b – 3 2
  13. ( x – y3 ) 3 = ( x 1 2 ) 3 –3 ( x 1 2 ) 2 y 1 3 +3 x 1 2 ( y 1 3 ) 2 – ( y 1 3 ) 3 = x 3 2 –3x y 1 3 +3 x 1 2 y 2 3 –y
  14. ( a 1 2 + b 2 3 ) 4 = ( a 1 2 ) 4 +4 ( a 1 2 ) 3 ( b 2 3 ) +6 ( a 1 2 ) 2 ( b 2 3 ) 2 +4( a 1 2 ) ( b 2 3 ) 3 + ( b 2 3 ) 4 = a 2 +4 a 3 2 b 2 3 +6a b 4 3 +4 a 1 2 b 2 + b 8 3
  15. ( x –2 – y – 1 3 ) 4 = ( x –2 ) 4 –4 ( x –2 ) 3 ( y – 1 3 ) +6 ( x –2 ) 2 ( y – 1 3 ) 2 –4( x –2 ) ( y – 1 3 ) 3 + ( y – 1 3 ) 4 = x –8 –4 x –6 y – 1 3 +6 x –4 y – 2 3 –4 x –2 y –1 + y – 4 3
  16. ( x 1 3 + y – 3 4 ) 5 = ( x 1 3 ) 5 +5 ( x 1 3 ) 4 ( y – 3 4 ) +10 ( x 1 3 ) 3 ( y – 3 4 ) 2 +10 ( x 1 3 ) 2 ( y – 3 4 ) 3 +5( x 1 3 ) ( y – 3 4 ) 4 + ( y – 3 4 ) 5 = x 5 3 +5 x 4 3 y – 3 4 +10x y – 3 2 +10 x 2 3 y – 9 4 +5 x 1 3 y –3 + y – 15 4
  17. ( m – n3 ) 5 = ( m 1 2 ) 5 –5 ( m 1 2 ) 4 ( n 1 3 ) +10 ( m 1 2 ) 3 ( n 1 3 ) 2 –10 ( m 1 2 ) 2 ( n 1 3 ) 3 +5( m 1 2 ) ( n 1 3 ) 4 – ( n 1 3 ) 5 = m 5 2 –5 m 2 n 1 3 +10 m 3 2 n 2 3 –10mn+5 m 1 2 n 4 3 – n 5 3
  18. ( a 2 –2 m ) 6 = ( a 2 ) 6 –6 ( a 2 ) 5 ( 2 m 1 2 ) +15 ( a 2 ) 4 ( 2 m 1 2 ) 2 –20 ( a 2 ) 3 ( 2 m 1 2 ) 3 +15 ( a 2 ) 2 ( 2 m 1 2 ) 4 –6( a 2 ) ( 2 m 1 2 ) 5 + ( 2 m 1 2 ) 6 = a 12 –12 a 10 m 1 2 +15. 2 2 a 8 m–20. 2 3 a 6 m 3 2 +15. 2 4 a 4 m 2 –6. 2 5 a 2 m 5 2 + 2 6 m 3 = a 12 –12 a 10 m 1 2 +60 a 8 m–160 a 6 m 3 2 +240 a 4 m 2 –192 a 2 m 5 2 +64 m 3
  19. ( x –3 + y4 ) 5 = ( x –3 ) 5 +5 ( x –3 ) 4 ( y 1 4 ) +10 ( x –3 ) 3 ( y 1 4 ) 2 +10 ( x –3 ) 2 ( y 1 4 ) 3 +5( x –3 ) ( y 1 4 ) 4 + ( y 1 4 ) 5 = x –15 +5 x –12 y 1 4 +10 x –9 y 1 2 +10 x –6 y 3 4 +5 x –3 y+ y 5 4
  20. ( a –2 +3 a –1 +2 ) 2 = ( a –2 ) 2 + ( 3 a –1 ) 2 + 2 2 +2( a –2 ) ( 3 a –1 ) +2( a –2 ) ( 2 ) +2( 3 a –1 ) ( 2 ) = a –4 +9 a –2 +4+6 a –3 +4 a –2 +12 a –1
  21. ( x 1 2 – x 1 4 +2 x – 1 4 ) 2 = ( x 1 2 ) 2 + ( – x 1 4 ) 2 + ( 2 x – 1 4 ) 2 +2( x 1 2 ) ( – x 1 4 ) +2( x 1 2 ) ( 2 x – 1 4 ) +2( – x 1 4 ) ( 2 x – 1 4 ) =x+ x 1 2 + 2 2 x – 1 2 –2 x 1 2 + 1 4 + 2 2 x 1 2 – 1 4 – 2 2 x 1 4 – 1 4 =x+ x 1 2 +4 x – 1 2 –2 x 3 4 +4 x 1 4 –4
  22. ( a – 1 2 +3+ a 1 2 ) 2 = ( a – 1 2 ) 2 + ( 3 ) 2 + ( a 1 2 ) 2 +2( a – 1 2 ) ( 3 ) +2( a – 1 2 ) ( a 1 2 ) +2( 3 ) ( a 1 2 ) = a –1 +9+a+6 a – 1 2 +2 a – 1 2 + 1 2 +6 a 1 2 = a –1 +9+a+6 a – 1 2 +2+6 a 1 2 = a –1 +6 a – 1 2 +11+a+6 a 1 2
  23. ( m+2 m 3 4 –3 m 1 2 ) 2 = m 2 + ( 2 m 3 4 ) 2 + ( –3 m 1 2 ) 2 +2m( 2 m 3 4 ) +2m( –3 m 1 2 ) +2( 2 m 3 4 ) ( –3 m 1 2 ) = m 2 + 2 2 m 3 2 + ( –3 ) 2 m+ 2 2 m 1+ 3 4 –6 m 1+ 1 2 – 2 2 .3 m 3 4 + 1 2 = m 2 +4 m 3 2 +9m+4 m 7 4 –6 m 3 2 –12 m 5 4 = m 2 +4 m 7 4 –2 m 3 2 –12 m 5 4 +9m
  24. ( a 1 2 b – 1 3 –2+ a – 1 2 b 1 3 ) 2 = ( a 1 2 b – 1 3 ) 2 + ( –2 ) 2 + ( a – 1 2 b 1 3 ) 2 +2( a 1 2 b – 1 3 ) ( –2 ) +2( a 1 2 b – 1 3 ) ( a – 1 2 b 1 3 ) +2( –2 ) ( a – 1 2 b 1 3 ) =a b – 2 3 +4+ a –1 b 2 3 –4 a 1 2 b – 1 3 +2 a 1 2 – 1 2 b – 1 3 + 1 3 –4 a – 1 2 b 1 3 =a b – 2 3 +4+ a –1 b 2 3 –4 a 1 2 b – 1 3 +2–4 a – 1 2 b 1 3 = a –1 b 2 3 –4 a – 1 2 b 1 3 +6–4 a 1 2 b – 1 3 +a b – 2 3
  25. ( x 1 2 + x 1 4 –1 ) 3 = ( x 1 2 ) 3 + ( x 1 4 ) 3 + ( –1 ) 3 +3 ( x 1 2 ) 2 ( x 1 4 ) +3 ( x 1 2 ) 2 ( –1 ) +3 ( x 1 4 ) 2 ( x 1 2 ) +3 ( x 1 4 ) 2 ( –1 ) +3 ( –1 ) 2 ( x 1 4 ) +3 ( –1 ) 2 ( x 1 2 ) +6( –1 ) ( x 1 4 ) ( x 1 2 ) = x 3 2 + x 3 4 –1+3x x 1 4 –3x+3 x 1 2 x 1 2 – 3 x 1 2 +3 x 1 4 + 3 x 1 2 –6 x 1 4 x 1 2 = x 3 2 + x 3 4 –1+3 x 5 4 – 3x + 3x +3 x 1 4 –6 x 3 4 = x 3 2 +3 x 5 4 –5 x 3 4 +3 x 1 4 –1
  26. ( a 2 3 –2+ a – 2 3 ) 3 = ( a 2 3 ) 3 + ( –2 ) 3 + ( a – 2 3 ) 3 +3 ( a 2 3 ) 2 ( –2 ) +3 ( a 2 3 ) 2 ( a – 2 3 ) +3 ( –2 ) 2 ( a 2 3 ) +3 ( –2 ) 2 ( a – 2 3 ) +3 ( a – 2 3 ) 2 ( a 2 3 ) +3 ( a – 2 3 ) 2 ( –2 ) +6( a 2 3 ) ( –2 ) ( a – 2 3 ) = a 2 –8+ a –2 –6 a 4 3 +3 a 4 3 a – 2 3 +3.4 a 2 3 +3.4 a – 2 3 +3 a – 4 3 a 2 3 –6 a – 4 3 –12 a 2 3 a – 2 3 = a 2 –8+ a –2 –6 a 4 3 +3 a 2 3 +12 a 2 3 +12 a – 2 3 +3 a – 2 3 –6 a – 4 3 –12 = a 2 –6 a 4 3 +15 a 2 3 –20+15 a – 2 3 –6 a – 4 3 + a –2
  27. ( m 1 6 +2 m 1 3 + m 1 2 ) 3 = ( m 1 6 ) 3 + ( 2 m 1 3 ) 3 + ( m 1 2 ) 3 +3 ( m 1 6 ) 2 ( 2 m 1 3 ) +3 ( m 1 6 ) 2 ( m 1 2 ) +3 ( 2 m 1 3 ) 2 ( m 1 6 ) +3 ( 2 m 1 3 ) 2 ( m 1 2 ) +3 ( m 1 2 ) 2 ( m 1 6 ) +3 ( m 1 2 ) 2 ( 2 m 1 3 ) +6 m 1 6 ( 2 m 1 3 ) ( m 1 2 ) = m 1 2 + 2 3 m+ m 3 2 +6 m 1 3 m 1 3 +3 m 1 3 m 1 2 +3. 2 2 m 2 3 m 1 6 +3. 2 2 m 2 3 m 1 2 +3m m 1 6 +6m m 1 3 +12 m 1 6 m 1 3 m 1 2 = m 1 2 +8m+ m 3 2 +6 m 2 3 +3 m 5 6 +12 m 5 6 +12 m 7 6 +3 m 7 6 +6 m 4 3 +12m = m 3 2 +6 m 4 3 +15 m 7 6 +20m+15 m 5 6 +6 m 2 3 + m 1 2
Salir de la versión móvil