1 370 2x3 + 3x2 1 [(2x 1)(x + 1)2] 371 2x3 x2 7x + 2 372 a2 + b2 b4 2ab ESERCIZI Operare con numeri e lettere [(x 2)(2x2 + 3x 1)] [(a b + b2)(a b b2)] 381 x2 + 6xy + 9y2 z2 [(x + 3y + z)(x + 3y z)] 382 ax2 + bx2 4a 4b [(x 2)(x + 2)(a + b)] 383 27x4 18x3y + 3x2y2 [3x2(3x y)2] 373 3a3 15a2 6a + 12 [3(1 + a)(a2 6a + 4)] 384 2x4 4x3y 8x2y2 + 16xy3 374 x2 (y + z)2 [(x + y + z)(x y z)] 385 6x7y4 + 3x6y4 9x5y4 375 a2 (2b c)2 [(a + 2b c)(a 2b + c)] 376 a2 2ab + b2 c2 [(a b + c)(a b c)] 386 3x4 x3 3xy3 + y3 387 7y5 + 5y3 + 2 [2x(x 2y)2(x + 2y)] [3x5y4(x 1)(3 + 2x)] [(3x 1)(x y)(x2 + xy + y2)] [(1 y)(7y4 + 7y3 + 2y2 + 2y + 2)] 377 4b2 4b + 1 x2 [(2b 1 + x)(2b 1 x)] 388 4x3 8x2 3x + 9 378 a2y2 (b + x)2 [(ay b x)(ay + b + x)] 389 (p 2)3 + 3(p 2)2 + 3(p 2) + 1 379 b3 b(x 2y)2 [b(b + x 2y)(b x + 2y)] 380 x2 + 2xy + y2 c2 (x + y + c)(x + y c)] 392 9a2x2y 27bx2y 6a3bxy + 18ab2xy 393 22p3q2r + 22p3qr2 11p3q 11p3r 394 3ax3 + 15bx3 3axy2 15bxy2 395 3a7b5 + 27a5b4 81a3b3 + 81ab2 396 x5 + 2x4 3x3 4x + 4 397 2t5 8t4 14t3 + 44t2 + 48t [(x + 1)(2x 3)2] 390 a4b 18a2b3 + 81b5 [(p 1)3] [b(a 3b)2(a + 3b)2] 391 (2x y)2 2z(2x y) + z2 [(2x y z)2] [3xy(a2 3b)(3x 2ab)] [11p3(q + r)(2qr 1)] [3x(x y)(x + y)(a + 5b)] [3ab2(3 a2b)3] [(x 1)2(x3 + 4x2 + 4x + 4)] [2t(t + 1)(t + 2)(t 3)(t 4)] 1 8 2 2 _1_ _2_ _1_ 2 _1_ _4_ 2 __ x3 ___ y3 [(a 3)(a + 3)(a 3a + 9)(a + 3a + 9); (2 x + 3 y)( 4 x + 3 xy 9 y )] 8 27 399 2acf 6afd + 2aef 10acg + 30adg 10aeg [2a(c 3d + e)(f 5g)] 398 a6 729 400 4(x y)2 + 4x 4y 401 mp2 2mpq + mq2 np2 + 2npq nq2 402 2l2p3 6l2p2q 12lp3 + 36lp2q + 18p3 54p2q 403 2a4b 6a3b2 + 6a2b3 2ab4 404 3abx2 6abxy 6abx + 3aby2 + 6aby + 3ab 405 l2p3 27l2q3 m2p3 + 27m2q3 p3 + 27q3 406 16x4 32x3y + 2xy3 4y4 407 a2 b + ab 1 408 2p3 12p2q p2 + 6pq 9q2 + 18pq2 409 a4 2a2b2 + b4 410 x4 y4 + x2 + y2 411 3x2y2(b c) + 6ax2y2(c b) + 3a2xy2(b c) 412 y2 1 xy x [4(x y)(x y + 1)] [(m n)(p q)2] [2p2(l 3)2(p 3q)] [2ab(a b)3] [3ab(x y 1)2] [(l2 m2 1)(p 3q)(p2 + 3pq + 9q2)] [2(x 2y)(2x + y)(4x2 2xy + y2)] [(a 1)(a + b + 1)] [(2p 1)(p 3q)2] [(a b)2(a + b)2] [(x2 + y2)(x2 y2 + 1)] [3xy2(b c)(a2 + x 2ax)] [(y + 1)(y 1 x)] 67