6 334 (p + q) (q r) (x + 4) (x 1) 335 (x2 4) (y + 1) (3m + n) (2m 5) 336 (7h + 10k) (2h 3) (u 4v) (v + 3z) _1_ _1_ _2_ _5_ ESERCIZI Monomi e polinomi [pq + q2 rp rq; x2 + 3x 4] [x2y 4y + x2 4; 6m2 + 2mn 15m 5n] [14h2 + 20hk 21h 30k; uv 4v2 + 3uz 12vz] _2_ 2 _1_ _2_ _5_ 2 _2_ _5_ 2 [3x + 2xy + 3 x + 9 y; 6 a b + 3 a 4 ab b] 337 (2 x + 3 y) (6x + 3) 338 (2 x + y)(2 x + y) 339 (5 + 4)(u 2) (2 a 1)(1 3 a) 340 2 _4_ 2 _5_ (8 xy + y )(3 x + y 1) _1_ 3 _1_ 3 ( 4 a b)( 4 a + b) 1 6 2 3 ___ 2 _5_ 3 _4_ 2 2 _5_ 2 _5_ [ 6 x y + 3 x y + 8 xy 8 xy y + y ; 16 a b ] (x2 2x + 1)(x 1) [ax3 ax2 + a bx3 + bx2 b; x3 3x2 + 3x 1] _1_ (4 ab + 1) (3 a b) _1_ _u_ 3 _1_ 2 ( 4 a b a )(a 2b 4) _v_ _1_ 341 (x3 x2 + 1)(a b) 2 _7_ 3 4 2 3 _1_ 2 _1_ 2 2 [ 4 x + xy + y ; 4 a b a + 2 a b + a b + 4a ] _2_ 1 _1_ 2 ___ _1_ 2 _7_ [ 5 u + 4u 10 uv 2v; 3 a + 6 a 1] 1 1 3 2 2 2 2 _1_ _1_ 2 _9_ (a 2b 4)( __ + __a) [a + a b + ab + a + ab + b ; 4 a + 2 b + 1 + 2 a ab] 4 2 _1_ 2 _3_ 4 3 2 _1_ 3 _7_ 2 _1_ 343 (n3 4n2 + 3n + 1)(n 1) [n 5n + 7n 2n 1; 2 x + 4 x + 2 x 2] (2 x + 4 x 1)(x + 2) 342 (a2 + ab + b2)(a + 1) 344 (a + 1)(a2 a + 1) (z2 2az + a2)(z a) 345 (5a4b 2a3b2 + a2b3)( a + b) (x + 2)(x3 2x2 + 4x 8) 346 (x2 + 3x + 1)(3x2 + x 4) (5y2 y + 3)(2y2 + y 2) [3x4 + 10x3 + 2x2 11x 4; 10y4 + 3y3 5y2 + 5y 6] 347 [a3 + 1; z3 3az2 + 3a2z a3] [ 3a3b3 + 7a4b2 + a2b4 5a5b; x4 16] 2 3 _1_ 2 2 2 2 2 _3_ 3 _2_ (4 a a + 2a)(a 3 a + 4a) (x y xy + 9)(9x y 18 xy + 1) 16 4 ___ 14 3 2 4 2 3 3 2 2 2 4 _3_ 6 _5_ 5 ___ _2_ [ 4 a 4 a + 3 a 3 a + 8a ; 9x y 27x y + 3x y 5xy + 18x y + 9 ] 348 (a3 + a2 + a + 1)(a2 a + 1) 349 (n + 4)(n 2)(n + 1) 2 _7_ 2 (3 b 3a )(a + b)(a + b) 350 (z 5)(z + 3)(z 1)z 351 (x5 + x4 + x3 x2)(x4 x3 + x2) 2 _1_ _1_ 2 (x 2 y)(2x 3y)(x + 2xy 3 y ) _1_ _1_ [a5 + a3 + a2 + 1; x9 + x7 x6 + 2x5 x4] 14 3 3 2 4 3 _2_ 2 2 _7_ 4 ___ [n + 3n 6n 8; 3 a b 3a + 3 b + 3 ab 6a b] _1_ 4 3 2 3 _1_ _1_ 2 _1_ [z 3z 13z + 15z; t 4 t 2 t + 8 ] (t 2)(t + 2)(t 2) _1_ _1_ _1_ _1_ _1_ _5_ (2 a 3 ab)(2 a + 3 ab)( 2 a 3 ab) y4 43 2 2 ___ 13 3 __ 1 3 2 ___ 5 3 5 3 3 4 ___ _1_ 3 ___ ___ [2x 6 x y + 3 xy 2 ; 8 a + 18 a b 12 a b + 27 a b ] 1 2 ) 352 (0,5k2 4) 0,¯ 3h __k (0,¯ 6ab2 1)(1,5ab2 1) 353 (0,5 2a2 b)(0,25a 0,¯ 3b) 1 4 2 _1_ (0,2x2y 0,¯ 3)(0,2x2y + 0,¯ 3) [_1_a _1_b _1_a3 + _2_a2b _1_ab + _1_b2; ___ xy ] ( 13 2 2 4 _1_ 2 _1_ 3 _4_ ___ [ 6 k h 4 k 3 h + 2k; a b 6 ab + 1] 8 6 2 3 4 3 25 9 Semplifica le seguenti espressioni. 354 a(a 3b) (a 4b)(a + b) 355 a(y b) y(a b) + (a + b)(b y) [4b2] [b2 ay] 356 (a + b)(a 2b) a(a b) + b(a + b) 357 (x + 1)(x 3) + (x 1)(x + 3) + 6 [ab b2] [2x2] 351