20140828125950

POTENCIACION 0379CUBO DE UN BINOMIOSabemos (90) que :(a + b) 3 = a3 + 3a2b + 3ab 2 + b 3 .(a - b) 3 = a3 - 3a2b + 3ab 2 - b 3.Ejemplos( 1) Desarrollar (4a3 + 5a2b2 )3 .(4a 3 + 5a-b2 ) 3 = (4a 3 )3 + 3 ( 4a 3 )` ( 5a 2 b'2 ) + 3 (4a 3 ) (5a 2b2 )2 + (5a 2b2 )3(2) Desarrollar ( -5 x3= 64a° + 240asb 2 + 30007 b' + 125a 6 b 6 . R .5- 6 y 2(3 x- S y2 )5 6s-(3x) ; ;-3 ( 3 x )Z ( Sy 2 )5 5 6+3 (5x) (6y 2) 2-( 3) Desarrollar27 x3 - 9 x2 2+ 5 x 4125 l0 y 4 y2x 3 loy43( 5y 3 )125 a216 yR .22x 3 10y4 ) 2x 3 3 2x3 10y , 2x3 10y 4 2= - 3+ 3 10y4 335y( 5y ) ( 5 y ) ( 3 ) ( 5 y ( 3 ) ( 3 )f EJERCICIO 207Desarrollar :8x 9 8 2 40 1000-x y + 3X3y - 12 R .125> 527 y .3 2a 2 5 31 . (2a+35)3 . 9 . (2 a+ `3 b 2 ) . 14 .( 5 2(~a )2 . (4a-3b ) . 2 3 a3 . (5x 2+6' ) . 10 x. (3a2 -5 b2) 3. 15 . (4x 3 3 43y )4 . (4x 3-3xy . 2)3 33a 4b2 311 . (-5 a b 2 _ b4)3316 .5 . (7a''-5 (, 2b3)3 . 6 10 ( ._>b + 5 )35 ) 3.6 . (ab+9a 5 x 74 ) :3 .12 . ( 8 x 5 - 47y" ) . 17 . x 4 y7 . (8x4-7x 2 y 4 ) 3 . 3 j, (iYl2 38 . (3a 2 b-5a 3 b 2 ) 3 . 13 . ( `x + 32) . 18 . ---? n 3y x ( 6 111 2