1 158 x2 xy [x(x y)] 159 x3 + x2y xy2 y3 [(x + y)2(x y)] 160 x2y + y3 2xy2 [y(x y)2] 161 2a2b2 2ab3 [2ab2 (a b)] 162 4a4b2 8a3b3 + 4a2b4 3 2 [4a2b2 (a b)2] 4 163 2a b 2ab 2 [2ab (a + b)(a b)] 164 3a2 3ab [3a(a b)] 2 165 ab + b [b(a + b)] 166 3a3 + 6a2b [3a2(a + 2b)] 167 3a2x + 6abx + 3b2x ESERCIZI Operare con numeri e lettere [3x(a + b)2] 168 ab + 7b + 5a + 35 [(a + 7)(b + 5)] 169 x3 + 25xy2 10x2y [x(x 5y)2] 170 16a4b + 24a3b2 + 12a2b3 + 2ab4 [2ab(2a + b)3] 171 x4 + 3x3 + 3x2 + x [x(x + 1)3] 172 9a4b 6a3b2 + a2b3 [a2b(3a b)2] 173 x2 (y + z)2 [(x + y + z)(x y z)] 1 3 3 174 __ a3b3 __ a4b2 + __ a5b a6 8 4 2 3 2 y 4x x 175 __ + ____ + 4x4y2 9 3 3 2 4 4 5 5 8 43 5 25 5 4 2 1 __ 2 [x (3 + 2xy) ] 9y 6x y 4x y 176 ___ _____ + _____ 4 3 _1_ 3 [a (2 b a) ] 3 _3_ _2_ 2 2 [y (2 5 x y) ] 25 st st t 177 ___ ___ + __ 2 _1_ 4 _1_ 2 [t(5 s 2 t ) ] 9 27 8 178 __ ax5 + 2a2x4 + ___ x6 + ___ a3x3 3 2 8 27 16 64 179 m9 4m8 + ___ m7 ___ m6 3 27 180 4a3b2 4a3b3 4a2b4 + a3b4 + 2a2b5 + ab6 _3_ _2_ 3 [x (2 x + 3 a) ] 6 _4_ 3 [m (m 3) ] [ab2(2a ab b2)2] 181 2a3 4a4 + 2a5 + 4a6 + 2a7 4a5 [2a3(a + a2 1)2] 9 4 2 _3_ 3 2 [xy(x 2y 2 xz ) ] 182 x3y 4x2y3 + 4xy5 3x3yz3 + 6x2y3z3 + __ x3yz6 Scomponi in fattori i seguenti polinomi in modo che i fattori tra parentesi abbiano coefficienti interi. esercizio svolto _9_x2y4 2xy2 + _4_ 4 9 1 1 2 4 = ___(81x y 72xy2 + 16) = ___ (9xy2 4)2 36 36 36 1 183 ____ x4y2 __ 1 ____ (18x2y + 10)(18x2y 10) [ 900 9 100 4 9 184 9x2y2 + __ z2 1 4 1 9 186 9a2 2ab + __ b2 1 27 187 27a3 9a2b + ab2 ___ b3 1 4 188 4a2 + 2ab2c2 + __ b4c4 9x8 49 1 4 2 ___ [ 49 (35 3x ) ] 2 2 _1_ (2z + 9xy)(2z 9xy) 27 27ax 9a x 191 ___ + _____ + _____ + a3x3 3 3 3 3 _1_ [ 4 (2 + a b )(2 a b )] ab 25x 5 192 ____ __ ab3x + ____ [9 185 1 __ a6b6 1 ] 30x4 7 190 25 ____ + ___ ] 8 4 2 6 9 2 3 9 64 _1_ 2 193 ___ + a2x2 1 ___ 3 194 6ab + ___ a2 + 11b2 2 2 2 _1_ [ 4 (4a + b c ) ] 1 3 2 189 9a3bc2 + ___ a9b3c6 a6b2c4 27 [___ (a bc 9)3] 27 27 1 ___ [ 64 (8ax + 3)(8ax 3)] 9 11 8s3 125 12s2t3 25 6st6 5 195 ____ + _____ ____ + t9 9 196 ____ + 3x2y + 64x4y2 256 3 1 3 2 ___ [ 36 (2ab 15x) ] 4 [ 9 (9a b) ] [ 27 (9a b) ] _1_ [ 8 (3 + 2ax) ] 2 1 ___ 2 [ 11 (3a 11b) ] 1 3 2 ____ [ 125 (5t 25) ] 1 2 2 ____ [ 256 (3 + 128x y) ] 57