分式乘除法专项练习60题(有答案)

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1、分式乘除法专项练习60题（有答案）x2-1.X2-2x4-1x+1X2_X4,X-1X2x2-6x+9.2x~69-x2'x2+3x3.(1)Xaa+1a^+2a+l6.x2-2x+lx-1把分式xy2x2化成两个分式的乘积的形式.-1811.(x2-9)—化…启9.2x•13.3kk2ab^ab"~rc2cac2_xx2+2xy+y2x_y2x+xy15・2I」XF(x—1)X2+4X+419.(302b)(503bK—725ab16—ip2ml4『目2I16鲁ID2+ID32耳8甲2(1)(12D3b2IS?

2、2b3)+4aba+402+80+164^2I8a0bI0•I-J—4XZ+2X+1■X2+2X+4爼+4罕4Q+40+42X116•x+4•x+2X2+4X+4•X+22X—8%+20+lza+23JI5帕+6JIA+120214・012%+4d+4•0+15?°0+3a2+6a+91610・0+2-20+8卜閉+16•aJ—46N02+20b+)3.(I023%—聲+b20+b59.x2+6xx2~4十-9x+2xx+4x+460.b4b2A)32b参考答案:1.2.由卡(x+1)(x-1)X(x~l)丿泉貳

3、=•z(x-1)21-a(a+1)(a-1)1~aa(a+1),a(a+1)(a_1)原式二a3.原式二4.5-7.10.11.12.13.x+1=X・a(a+1)a+1(a+1)原式x-1原式二aa(a+1)3，収'案(a+1)3(x+1)(x-1)x+1X2(x-3)2(3+x)(3-x)X2(x-3)冶*(x-1)2原式=(x+1)(x-l)El厂x-1xy(x-3)(x-3)(X-1)2xr-1X(x+1)=x(x+1)(x-1)x-12x2-182(x+3)(x-3)2(x+3)只二'*杀不唯一)原式二

4、(x+3)(x-1).(x-2)(x-3)_x-2(x+3)(x-3)(3x+2)(x-1)3x+22x.x+12原式Si)(x-1)Xx-1(x+y)(x-y)(x+y)2原式=；~-——r—•(x+3)(X-3)=x+3.X(X-3)in-2-12m-4m一23一m原式二id-32(in-2)m-2=■2(m—3)，•眉甘、a3bc24b4A=——■■—-~~-2cX222cabacJ2b3xy(xy+y)x2y2+xy15熙匕宀靑唸16・a^-a•—=ax—x—=—.babb「3ab+a3.a+3b_a(a

5、+3b)b_aa原式二(旦三)-(10-bm2a-b(a+b)(8-b)a+3ba+bx2_4x+4.x-1_(x~2)2x_1x~2x2-2x+l2-4(x-1)X(x+2)(x-2)x2+x-2Q412p1QR_91_1519.原式=——=45a'6b_6.25ab"716-m2in-4m2_4一(m+4)(m~4)2(nd-4)(m+2)(m-2)2m-420.才

6、•■•—16irrF8m2+mJ2nrf-8昭2m(^4)2叶4时2m21.(1)原式二(厲+2)(a+4)(w-2)(a~2)](a+2)(

7、3-2)(a~2)2_1a_2a+4*(2)原式二&+1)-1…(X_1)(X_2)X_1(x-2)2x-1x-222.y2丁16x2二436x4/9x223.k22k2k2m4c?_2a2b2a24.(1)原式=12a3b2v4ab-8a2b3-r4ab=3a2b-2ab2；(2)原式=8(0-2)(a+4)2_a+4a+44a(a-2)425.2X-3.(4、Xy—z)m(・xy)=—Xyy-3匚)6‘y26.原式^x(x+2)_1(x+1)2x+f(分子有个x)8n厂IDa-b/b、2.b2=a~ba2"

8、a27--Vx(占k22a-1(a+2)(a-2)a-228.(1)原式=2(計2)-(a+1)(a-i)—厉+2'(2)原式二(x+y)(1y)•(X_Y)2=(x+y)XX-y)*("「形-第29.原式=x2+2x+4(x+2)2(x-2)(x?+2x+4).13(x+2)(x+2)(x_2)•(x+2)(x-2)=3.x2+2x+43(x+2):•(x+2)2(x-2)(x2+2x+4)30.原式二2(X-引•[=2(x-2),=2x-4.x-2x~32231.原式-・3m24xy25xym2y2332・(

9、2(・丄)3.k6(b)2-a•(b3、b2(F•4a吐b3—2bb24b2162-33・原式一b2xa■(a+b)(a-_b)xa-a:-b•aba+baba+bb34.(1)原式=X(x+l)x+3⑵原式半(x-2)x-32-=2x-4.35.原式(丁X士卜-2(a+1)2a_136.原式二^・鸟25x_335x+3337.原式二3ab28xy4b32b2••=3x3