Ejercicio 63

Comparte esto 👍👍
CAPITULO VI

PRODUCTOS Y COCIENTES NOTABLES
Ejercicio 63
Escribir, por simple inspección, el resultado de:
  1. (a3 ) 2 = a 2 2( a ) ( 3 ) +(3 ) 2 = a 2 6a+9
  2. (x7 ) 2 = x 2 2( x ) ( 7 ) +(x ) 2 = x 2 +14x+49
  3. (9a ) 2 = 9 2 2( 9 ) ( a ) +(a ) 2 =8118a+ a 2
  4. (2a3b ) 2 =(2a ) 2 2(2a ) (3b ) +(3b ) 2 =4 a 2 12ab+9 b 2
  5. (4ax1 ) 2 =(4ax ) 2 2(4ax ) ( 1 ) +(1 ) 2 =16 a 2 x 2 8ax+1
  6. ( a 3 b 3 ) 2 =( a 3 ) 2 2( a 3 ) ( b 3 ) +( b 3 ) 2 = a 6 2 a 3 b 3 + b 6
  7. (3 a 4 5 b 2 ) 2 =(3 a 4 ) 2 2(3 a 4 ) (5 b 2 ) +(5 b 2 ) 2 =9 a 8 30 a 4 b 2 +25 b 4
  8. ( x 2 1 ) 2 =( x 2 ) 2 2( x 2 ) ( 1 ) +(1 ) 2 = x 4 2 x 2 +1
  9. ( x 5 3a y 2 ) 2 =( x 5 ) 2 2( x 5 ) (3a y 2 ) +(3a y 2 ) 2 = x 10 6a x 5 y 2 +9 a 2 y 4
  10. ( a 7 b 7 ) 2 =( a 7 ) 2 2( a 7 ) ( b 7 ) +( b 7 ) 2 = a 14 2 a 7 b 7 + b 14
  11. (2m3n ) 2 =(2m ) 2 2(2m ) (3n ) +(3n ) 2 =4 m 2 12mn+9 n 2
  12. (10 x 3 9x y 5 ) 2 =(10 x 3 ) 2 2(10 x 3 ) (9x y 5 ) +(9x y 5 ) 2 =100 x 6 180 x 4 y 5 +81 x 2 y 10
  13. ( x m y n ) 2 =( x m ) 2 2( x m ) ( y n ) +( y n ) 2 = x 2m 2 x m y n + y 2n
  14. ( a x2 5 ) 2 =( a x2 ) 2 2( a x2 ) ( 5 ) +(5 ) 2 = a 2x4 10 a x2 +25
  15. ( x a+1 3 x a2 ) 2 =( x a+1 ) 2 2( x a+1 ) (3 x a2 ) +(3 x a2 ) 2 = x 2a+2 6 x 2a1 +9 x 2a4