Ejercicio 105

Comparte esto 👍👍
CAPITULO X

Descomposición Factorial
Ejercicio 105
Factorar:
  1. a 5 +1=(a+1 ) ( a 4 a 3 + a 2 a+1 )
  2. a 5 1=(a1 ) ( a 4 + a 3 + a 2 +a+1 )
  3. 1 x 5 =(1x ) (1+x+ x 2 + x 3 + x 4 )
  4. a 7 + b 7 =(a+b ) ( a 6 a 5 b+ a 4 b 2 a 3 b 3 + a 2 b 4 a b 5 + b 6 )
  5. m 7 n 7 =(mn ) ( m 6 + m 5 n+ m 4 n 2 + m 3 n 3 + m 2 n 4 +m n 5 + n 6 )
  6. a 5 +243=(a+3 ) ( a 4 3 a 3 +9 a 2 27a+81 )
  7. 32 m 5 =(2m ) (16+8m+4 m 2 +2 m 3 + m 4 )
  8. 1+243 x 5 =(1+3x ) (13x+9 x 2 27 x 3 +81 x 4 )
  9. x 7 +128=(x+2 ) ( x 6 2 x 5 +4 x 4 8 x 3 +16 x 2 32x+64 )
  10. 24332 b 5 =(32b ) (81+54b+36 b 2 +24 b 3 +16 b 4 )
  11. a 5 + b 5 c 5 =(a+bc ) ( a 4 a 3 bc+ a 2 b 2 c 2 a b 3 c 3 + b 4 c 4 )
  12. m 7 a 7 x 7 =(max ) ( m 6 + m 5 ax+ m 4 a 2 x 2 + m 3 a 3 x 3 + m 2 a 4 x 4 +m a 5 x 5 + a 6 x 6 )
  13. 1+ x 7 =(1+x ) (1x+ x 2 x 3 + x 4 x 5 + x 6 )
  14. x 7 y 7 =(xy ) ( x 6 + x 5 y+ x 4 y 2 + x 3 y 3 + x 2 y 4 +x y 5 + y 6 )
  15. a 7 +2187=(a+3 ) ( a 6 3 a 5 +9 a 4 27 a 3 +81 a 2 243a+729 )
  16. 1128 a 7 =(12a ) (1+2a+4 a 2 +8 a 3 +16 a 4 +32 a 5 +64 a 6 )
  17. x 10 +32 y 5 =( x 2 +2y ) ( x 8 2 x 6 y+4 x 4 y 2 8 x 2 y 3 +16 y 4 )
  18. 1+128 x 14 =(1+2 x 2 ) (12 x 2 +4 x 4 8 x 6 +16 x 8 32 x 10 +64 x 12 )