1 696 697 698 699 ESERCIZI Operare con numeri e lettere 2 3 x y 2 _____ y+x 3 _____ ( x2 y2 ) (x + y) ( y ) xy y ______ 2 (x y) _______ 2] [ (x + y) 2 2 2 b a 4 __________ 1 : ______ ) (b2 1) b2 2b + 1 a 2ab + b ____________ ( b 1 2 x 3 ______ (x2 1) [(b + 1)4] (x + 1) 1 2 ________ (9 + x2 6x) ( x 1 ) 2 2 a 25b _______________ 3 (a + a 5b 5ab) 2 [1] a3 + 15a2b + 75ab2 + 125b3 1 : ________________________ ( ) a2 + 2a + 1 [a + 1] ESPRESSIONI CON FRAZIONI ALGEBRICHE Semplifica le seguenti espressioni. r s) 700 (r + s) : 1 + _ ( 701 702 _1_ _1_ (x + 5) (x 5) 703 (y + 2) : 704 (b _1_ a+b _____ 2 715 (a b)2 : 2z 1 _______ 716 xy + y2 (3x3y3)2 2y ______ _______ ( 3x ) 9x4y6 717 (a2 + ab + b2) : (a2 b2) 718 (a + b) a _______ 2 ________ ] 5x [ 2(z 1) ] [2y] 2) 1 _a_ + 1 ______ _1_ 25 x _______ _1_ + _1_ (y _1_ 714 [ _1_ (z 2) : (z 1) _1_ (a + b) : (a b) [s] 1 _______ )a2 b2 [ b(a b) ] 2+x _x_ _2_ : _____ [x 2] b2 a + ______ ( a 2b) 2 ___ 1 __ 1 __ 2 ( [a 2b] [ 1 __ 1 __ 2 [ b2 ] 3 2y __ y _____ x _1_ ___ + 706 (3 + r ) : (r2 + r ) [3r] 1 1 720 (z2 1) _____ _____ + 1 707 1 _______ 3m 3n _1_ __ : 2 m ___ 721 708 709 (n 3s __ s __ m) _1_ 1 1 p2 __2 : p + __ ( ) ( ) p p 2 x __ 1 (4 x : __ + 1) ) (2 710 9x2 1 _1_ : _______ 3 ( x) x3 711 (m + n)m + n 712 x 1 _____ __ (x x + 1)(1 x2) 713 1 __ mn _1_ _____ 3 4a a _2_ _a_ : _______ 2 (a 2) [ 3n ] m 2a 2 p 1 ______ [ ] p x 2 _____ [ 2 ] 2 x ______ [ 3x + 1 ] [x y] x3)x y x2 (z 1 z+1 ) 2 (x y) xy _______ + 2 ______ ( )x2 y2 xy 2 b2 a + ______ 2(a + 2b) ( a + 2b) (a + b) 722 ________ : 723 724 [1] 725 [x 1] 726 [1] (x s t ____ s+t ____ 4st ______ (s + t s t) : s2 t2 3x 2y _1_ + _1_ _______ (x y xy u _____ v _____ ) 3y 2x : _______ 3xy 2uv ______ (u + v + u v)(1 u2 + v2) 2 3 2 : (___) 2ab ) 2a 2 _a_ _______ 3 a b ___ (ab b+a _____ [b a] )a b + ab3 ab 2 4x + 2 3x 2 3x + 1 727 ______ ______ + ______ 6x 1(2 + 4x ] 3 2 (2 2x xy(5x y) _________ 3 705 x) 719 1 __ [b a] 4x + 2) [z2 + 1] 2 2 x +y ______ [x y 2 2] _1_ [2] [ 1] [3] u v _____ [u + v] 2a ___ [ 9b ] [1] 83