Matematica C3 – Algebra 1 - itis magistri cumacini

www.matematicamente.it - Matematica C3 – Algebra1 – 5. Scomposizioni e frazioniScomponi in fattori mediante raccoglimento parziale a fattore comune, se questo è possibile.39 3ax – 9a−x3 2x –2yax –ay R. (x-y)(2+a)40 ax 3 ax 2 bxb 3ax – 6ax−2 R.(x-2)(3a+1)41 2ax – 4a− x2 axbx –ay –by R. (a+b)(x-y)42 b 2 xb 2 y2ax2ay 3x 3 −3x 2 3x−3 R. (2x-3y)(x+y)43 −x 3 x 2 x−1 x 3 −x 2 x−1 R. (x-1)(x 2 -1)44 x 3 x 2 −x−1 x 3 –1−xx 245 x 3 −x−1x 2 x 3 x 2 x146 b 2 x−b 2 y2x−2y b 2 x−b 2 y−2ax−2ay47 xy xay aby b ay 2x 3 – 2ax 3 – y R.(a-1)(y-2x 3 )48 3x6ax2abx2b 2x –2bx –bax –a49 2x –2bx –b−ax a 2x2bx – b−ax a50 2x –b ax –a – 2bx bx 2 – bxbx 2 – x 1 R. b1x 2 −x151 a 3 2a 2 a2 a 2 xa x−a−152 3x y 3 −6 x y −ay 2 2a a 2 x 3 a 2 x 2 a 2 x−2 x 2 −2x−253 3 x 4 −3 x 3 + 3 x 2 −3 x 2a x−2a+ a b x−a b+ a 2 x−a 254 3 x 4 y 4 −6 x 4 y 2 −a x 3 y 3 + 2a x 3 y b 2 x−2b x+ b y−2 y55 a x+ b x+ 2 x−a−b−2 a 3 −a 2 b 2 −a b+ b 3 R.(a 2 -b)(a-b 2 )56 2 3 x 3 − 1 3 x 2 2x−157 3 xy 2 5x5y a−2a−3ab−2b58 3 x 4 + 9 x 2 −6 x 3 −18 x 2a−a 2 + 8b−4a b59 4x 2 3a4xy−4ax−3y−3x 3 x 4 −3 x 3 + 2 x−260 1 8 x3 −2 x y 2 + 1 2 y x2 −8 y 3 a b−b x 2 − 2 3 a x− 2 3 x315 a2 b+ 3 a b 2 − 1 3 a−5 b R. ( 3 5 a b−1 )( 1 3 a+ 5b )61 45 x 3 + 15 x y+ 75 x 2 y+ 21 x 2 y 2 + 7 y 3 + 35 x y 3 R. (15 x+ 7 y 2 )(3 x 2 + y+ 5 x y )Scomponi in fattori raccogliendo prima a fattore comune totale e poi parziale.62 a 14 + 4a 20 −2 a 12 −8a 8 R. a 8 (a 2 −2 )(a 4 + 4 )63 b 2 xb 2 y−2bx−2by64 3 x 2 ( x+ y) 2 + 5 x 3 + 5 x 2 y R. x 2 ( x+ y)(3 x+ 3 y+ 5)65 b 2 x −2bx−2byb 2 y66 ax 3 yax 2 yaxy ay R. ay x1 x 2 167 2ab 2 2b 2 c−2a 2 b 2 −2ab 2 c68 2 11 x 2 2 12 x2 15 x2 16 R. 2 11 x2x1669 3ax6aa 2 x2a 2 abx2ab70 6x 2 6xy−3x xy −9x 2 xy 2 R. 2x x y x−a71 2bx 2 4bx−2x 2 −4ax72 2x 3 2x 2 −2ax 2 −2ax R. 2x x1x−a73 x 4 x 3 −x 2 −x74 2 3 ax 3 − 1 3 a x 2 2 3 a x−1 3 a R. 13 a x2 12x−175 15 x xy 2 5x 2 5xy76 7 3 x 2 − 7 3 xy 1 9 x 3 − 1 9 x 2 y − 5 9 x 2 −xy R.1xx− y16 x977 2a 2 mx−2ma 2 −2a 2 x2a 278 2b x1 2 −2bax−2ba4bx4b R. 2bx1 x−a3248