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CAPITULO VI

PRODUCTOS Y COCIENTES NOTABLES
Ejercicio 67
Escribir, por simple inspección, el resultado de:
  1. (a+1 ) (a+2 ) = ( a ) 2 +(1+2 ) ( a ) +(1 × 2 ) = a 2 +3a+2
  2. (x+2 ) (x+4 ) = ( x ) 2 +(2+4 ) ( x ) +(2 × 4 ) = x 2 +6x+8
  3. (x+5 ) (x2 ) = ( x ) 2 +(52 ) ( x ) +[5(2 ) ] = x 2 +3x10
  4. (m6 ) (m5 ) = ( m ) 2 +(65 ) ( m ) +[(6 ) (5 ) ] = m 2 11m+30
  5. (x+7 ) (x3 ) = ( x ) 2 +(73 ) ( x ) +[7(3 ) ] = x 2 +4x21
  6. (x+2 ) (x1 ) = ( x ) 2 +(21 ) ( x ) +[2(1 ) ] = x 2 +x2
  7. (x3 ) (x1 ) = ( x ) 2 +(31 ) ( x ) +[(3 ) (1 ) ] = x 2 4x+3
  8. (x5 ) (x+4 ) = ( x ) 2 +(5+4 ) ( x ) +[(5 ) × 4 ] = x 2 x20
  9. (a11 ) (a+10 ) = ( a ) 2 +(11+10 ) ( a ) +[(11 ) × 10 ] = a 2 a110
  10. (n19 ) (n+10 ) = ( n ) 2 +(19+10 ) ( n ) +[(19 ) × 10 ] = n 2 9n190
  11. ( a 2 +5 ) ( a 2 9 ) = ( a 2 ) 2 +(59 ) ( a 2 ) +[5(9 ) ] = a 4 4 a 2 45
  12. ( x 2 1 ) ( x 2 7 ) = ( x 2 ) 2 +(17 ) ( x 2 ) +[(1 ) (7 ) ] = x 4 8 x 2 +7
  13. ( n 2 1 ) ( n 2 +20 ) = ( n 2 ) 2 +(1+20 ) ( n 2 ) +[(1 ) × 20 ] = n 4 +19 n 2 20
  14. ( n 3 +3 ) ( n 3 6 ) = ( n 3 ) 2 +(+36 ) ( n 3 ) +[3(6 ) ] = n 6 3 n 3 18
  15. ( x 3 +7 ) ( x 3 6 ) = ( x 3 ) 2 +(76 ) ( x 3 ) +[7(6 ) ] = x 6 + x 3 42
  16. ( a 4 +8 ) ( a 4 1 ) = ( a 4 ) 2 +(81 ) ( a 4 ) +[8(1 ) ] = a 8 +7 a 4 8
  17. ( a 5 2 ) ( a 5 +7 ) = ( a 5 ) 2 +(2+7 ) ( a 5 ) +[(2 ) × 7 ] = a 10 +5 a 5 14
  18. ( a 6 +7 ) ( a 6 9 ) = ( a 6 ) 2 +(79 ) ( a 6 ) +[7(9 ) ] = a 12 2 a 6 63
  19. (ab+5 ) (ab6 ) = (ab ) 2 +(56 ) (ab ) +[5(6 ) ] = a 2 b 2 ab30
  20. (x y 2 9 ) (x y 2 +12 ) = (x y 2 ) 2 +(9+12 ) (x y 2 ) +[(9 ) × 12 ] = x 2 y 4 +3x y 2 108
  21. ( a 2 b 2 1 ) ( a 2 b 2 +7 ) = ( a 2 b 2 ) 2 +(1+7 ) ( a 2 b 2 ) +[(1 ) × 7 ] = a 4 b 4 +6 a 2 b 2 7
  22. ( x 3 y 3 6 ) ( x 3 y 3 +8 ) = ( x 3 y 3 ) 2 +(6+8 ) ( x 3 y 3 ) +[(6 ) × 8 ] = x 6 y 6 +2 x 3 y 3 48
  23. ( a x 3 ) ( a x +8 ) = ( a x ) 2 +(3+8 ) ( a x ) +[(3 ) × 8 ] = a 2x +5 a x 24
  24. ( a x+1 6 ) ( a x+1 5 ) = ( a x+1 ) 2 +(65 ) ( a x+1 ) +[(6 ) (5 ) ] = a 2x+2 11 a x+1 +30
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