Ejercicio 66

Ejercicio 66

1. ( a+2 ) 3 = ( a ) 3 +3 ( a ) 2 ( 2 ) +3( a ) ( 2 ) 2 + ( 2 ) 3 = a 3 +6 a 2 +12a+8
2. ( x–1 ) 3 = ( x ) 3 –3 ( x ) 2 ( 1 ) +3( x ) ( 1 ) 2 – ( 1 ) 3 = x 3 –3 x 2 +3x–1
3. ( m+3 ) 3 = ( m ) 3 +3 ( m ) 2 ( 3 ) +3( m ) ( 3 ) 2 + ( 3 ) 3 = m 3 +9 m 2 +27m+27
4. ( n–4 ) 3 = ( n ) 3 –3 ( n ) 2 ( 4 ) +3( n ) ( 4 ) 2 – ( 4 ) 3 = n 3 –12 n 2 +48n–64
5. ( 2x+1 ) 3 = ( 2x ) 3 +3 ( 2x ) 2 ( 1 ) +3( 2x ) ( 1 ) 2 + ( 1 ) 3 =8 x 3 +12 x 2 +6x+1
6. ( 1–3y ) 3 = ( 1 ) 3 –3 ( 1 ) 2 ( 3y ) +3( 1 ) ( 3y ) 2 – ( 3y ) 3 =1–9y+27 y 2 –27 y 3
7. ( 2+ y 2 ) 3 = ( 2 ) 3 +3 ( 2 ) 2 ( y 2 ) +3( 2 ) ( y 2 ) 2 + ( y 2 ) 3 =8+12 y 2 +6 y 4 + y 6
8. ( 1–2n ) 3 = ( 1 ) 3 –3 ( 1 ) 2 ( 2n ) +3( 1 ) ( 2n ) 2 – ( 2n ) 3 =1–6n+12 n 2 –8 n 3
9. ( 4n+3 ) 3 = ( 4n ) 3 +3 ( 4n ) 2 ( 3 ) +3( 4n ) ( 3 ) 2 + ( 3 ) 3 =64 n 3 +144 n 2 +108n+27
10. ( a 2 –2b ) 3 = ( a 2 ) 3 –3 ( a 2 ) 2 ( 2b ) +3( a 2 ) ( 2b ) 2 – ( 2b ) 3 = a 6 –6 a 4 b+12 a 2 b 2 –8 b 3
11. ( 2x+3y ) 3 = ( 2x ) 3 +3 ( 2x ) 2 ( 3y ) +3( 2x ) ( 3y ) 2 + ( 3y ) 3 =8 x 3 +36 x 2 y+54x y 2 +27 y 3
12. ( 1– a 2 ) 3 = ( 1 ) 3 –3 ( 1 ) 2 ( a 2 ) +3( 1 ) ( a 2 ) 2 – ( a 2 ) 3 =1–3 a 2 +3 a 4 – a 6