Il Maraschini-Palma - volume 1

7 219 x2 + 2xy + y2 c2 (x + y + c)(x + y c)] 220 x2 + 6xy + 9y2 z2 [(x + 3y + z)(x + 3y z)] 221 a2 b2 ax bx [(a + b)(a b x)] 222 x4 4 x2 2 ESERCIZI Scomposizione in fattori di un polinomio [(x2 + 2)(x2 3)] 225 27x4 18x3y + 3x2y2 [3x2(3x y)2] 226 2x4 4x3y 8x2y2 + 16xy3 [2x(x 2y)2(x + 2y)] 227 3a7b5 + 27a5b4 81a3b3 + 81ab2 [3ab2(3 a2b)3] 228 3x4 x3 3xy3 + y3 [(3x 1)(x y)(x2 + xy + y2)] 223 3ax3 + 15bx3 3axy2 15bxy2 229 3ax5 3a2x4 + 3a4x2 3a5x 224 ax + bx 4a 4b 230 54x y + 54x y + 2x + 18x3y 2 [3x(x y)(x + y)(a + 5b)] [(x 2)(x + 2)(a + b)] 2 [3ax(x a)(x + a)(x2 ax + a2)] 5 3 4 2 2 [2x2(1 + 3xy)3] 231 mp2 2mpq + mq2 np2 + 2npq nq2 [(m n)(p q)2] 232 2l2p3 6l2p2q 12lp3 + 36lp2q + 18p3 54p2q [2p2(l 3)2(p 3q)] 233 2a4b 6a3b2 + 6a2b3 2ab4 [2ab(a b)3] 234 3abx2 6abxy 6abx + 3aby2 + 6aby + 3ab [3ab(x y 1)2] 235 l2p3 27l2q3 m2p3 + 27m2q3 p3 + 27q3 [(l2 m2 1)(p 3q)(p2 + 3pq + 9q2)] 236 16x4 32x3y + 2xy3 4y4 [2(x 2y)(2x + y)(4x2 2xy + y2)] 237 a2 b + ab 1 [(a 1)(a + b + 1)] 238 6lr2 + 12mr2 3lrs 6mrs [3r(l + 2m)(2r s)] 239 6x3 + 4x2y2 6x3y 4x2y3 [2x2(1 y)(3x + 2y2)] 240 2p3 12p2q p2 + 6pq 9q2 + 18pq2 [(2p 1)(p 3q)2] 241 9p3 + 9p2q 3p2 3pq [3p(3p 1)(p + q)] 242 a4 2a2b2 + b4 [(a b)2(a + b)2] 243 x4 y4 + x2 + y2 [(x2 + y2)(x2 y2 + 1)] 244 2y2z 3y2 2z + 3 [(y + 1)(y 1)(2z 3)] 245 a3 + 2a2b ab2 2b3 [(a + b)(a b)(a + 2b)] 246 3x2y2(b c) + 6ax2y2(c b) + 3a2xy2(b c) 247 a3 + a2b ab2 b3 248 2x4 16xy3 [(a + b)2(a b)] [2x(x 2y)(x2 + 2xy + 4y2)] 249 a4 b4 + a2 + b2 250 b2 a2 9b + 9a [(a2 + b2)(a2 b2 + 1)] [(b a)(b + a 9)] [3xy2(b c)(a2 + x 2ax)] 255 a2 + b2 b4 2ab 256 2t5 8t4 18t3 + 72t2 [4x(x 3)(x + 1)] 258 (p 2)3 + 3(p 2)2 + 3(p 2) + 1 [(x 1)(3a + x 1)] 259 a4b 18a2b3 + 81b5 252 b2 4b + 4 + 2bx 4x [(b 2)(b 2 + 2x)] 260 (2x y)2 2z(2x y) + z2 253 x y + x2 + 2xy + y2 [(x + y)(x + y 1)] [(x z)(x + 2y + z)] [2t2 (t 4)(t + 3)(t 3)] 257 4x3 8x2 12x 251 3ax 3a + x2 2x + 1 254 x2 + y2 + 2xy y2 2yz z2 [(a b + b2)(a b b2)] [(p 1)3] [b(a 3b)2(a + 3b)2] [(2x y z)2] 261 3bx2 6bx + 3a2b 3b [3b(a + x + 1)(a x 1)] 1 4 b 2 262 a2 __ b2 + a __ _1_ [4 (2a b)(2 + 2a + b] 393

Il Maraschini-Palma - volume 1
Il Maraschini-Palma - volume 1
CAPITOLI DEMO: Insiemi, proposizioni e relazioni; Trasformazioni geometriche nel piano.