因式分解练习题及答案,要初二的因式分解题,要计算题,不要填空的,50道,_doc

(文档共11页)  

当前位置: 雨花文库>初中教育>数学>因式分解练习题及答案,要初二的因式分解题,要计算题,不要填空的,50道,_doc


因式分解练习题及答案,要初二的因式分解题,要计算题,不要

填空的,50道,

140.m2(p-q)-p+q

141.(2m+3n)(2m-n)-4n(2m-n).

142.(x+2y)2-x2-2xy.

143.a(ab+bc+ac)-abc.

144.ab-a-b+1.

145.xyz-xy-xz+x-yz+y+z-1.

146.x4-2y4-2x3y+xy3.

148.abc(a2+b2+c2)-a3bc+2ab2c2.

149.(a-b-c)(a+b-c)-(b-c-a)(b+c-a).

150.a2(b-c)+b2(c-a)+c2(a-b).

a(a+b)(a-b)-a(a+b)2.

152.(x2-2x)2+2x(x-2)+1.

153.2acd-c2a-ad2.

154.(x-y)2+12(y-x)z+36z2.

156.x2-4ax+8ab-4b2.

157.a2b2+c2d2-2abcd+2ab-2cd+1.

158.(ax+by)2+(ay-bx)2+2(ax+by)(ay-bx).

160.(1-a2)(1-b2)-(a2-1)2(b2-1)2.

161.3x4-48y4.

163.(x2+pq)2-(p+q)2x2.164.(1+2xy)2-(x2+y2)2.165.4a2b2-(a2+b2)2.

166.4a2b2-(a2+b2-c2)2.167.(c2-a2-b2)2-4a2b2.168.(x2-b2+y2-a2)2-4(ab-xy)2.169.64a4(x+1)2-49b4(x+1)4.170.ab2-ac2+4ac-4a.

171.4a2-c2+6ab+3bc.

172.x3n+y3n.

174.(x+y)3+125.

176.(m-n)6-(m+n)6.177.(x+1)6-(x-1)6.

178.a12-b12.

179.(z-x)3-(y+z)3.

180.(3m-2n)3+(3m+2n)3.181.x6(x2-y2)+y6(y2-x2).182.8(x+y)3+1.

183.(a-1)3-(b+1)3.

184.(a+b+c)3-a3-b3-c3.185.x2+4xy+3y2.

187.x2+18x-144.

188.x2+30x+144.

189.x4+2x2-8.

190.3x4+6x2-9.

191.-m4+18m2-17.

192.3x4-7x2y2-20y4.

193.x5-2x3-8x.

194.a3-5a2b-300ab2.

195.x8+19x5-216x2.

196.6a4n+k-a2n+k-35ak.

199.30x2+8xy-182y2.

200.m4+14m2-15.

140.(p-q)(m-1)(m+1).

141.(2m-n)2.

142.2y(x+2y).

143.a2(b+c).

144.(b-1)(a-1).

145.(x-1)(y-1)(z-1).

提示:方法一原式=x(yz-y-z+1)-(yz-y-z+1)=(yz-y-z+1)(x-1)

=[y(z-1)-(z-1)](x-1)

=(x-1)(y-1)(z-1).

方法二原式=xy(z-1)-x(z-1)-y(z-1)+(z-1)=(xy-x-y+1)(z-1)

=[x(y-1)-(y-1)](z-1)

=(x-1)(y-1)(z-1).

146.(x-2y)(x+y)(x2-xy+y2).

提示:方法一原式=x(x3+y3)-2y(x3+y3)

=(x3+y3)(x-2y)

=(x-2y)(x+y)(x2-xy+y2).

方法二原式=x3(x-2y)+y3(x-2y)

=(x-2y)(x3+y3)

=(x-2y)(x+y)(x2-xy+y2).

148.abc(b+c)2.

提示:原式=abc(a2+b2+c2-a2+2bc).

149.2(b-c)(a-b-c).

提示:原式=(a-b-c)(a+b-c)+(a-b-c)(b-c-a)=(a-b-c)[(a+b-c)+(b-c-a)]

=2(b-c)(a-b-c).

150.(a-b)(b-c)(a-c).

提示:原式=a2b-a2c+b2c-ab2+c2(a-b)

=(a2b-ab2)-(a2c-b2c)+c2(a-b)

=ab(a-b)-c(a2-b2)+c2(a-b)

=(a-b)[ab-c(a+b)+c2]

=(a-b)[a(b-c)-c(b-c)]

=(a-b)(b-c)(a-c).

提示:原式=a(a+b)[a-b-(a+b)]=a(a+b)(-2b)=-2ab(a+b);

152.(x-1)4.

提示:原式=[x(x-2)]2+2·x(x-2)+12

=[x(x-2)+1]2=(x2-2x+1)2

=(x-1)4.

153.-a(c-d)2.

154.(x-y-6z)2.

156.(x-2b)(x-4a+2b).

157.(ab-cd+1)2.

提示:原式=(a2b2-2abcd+c2d2)+2(ab-cd)+1

=(ab-cd)2+2(ab-cd)+1

=(ab-cd+1)2.

158.(ax+by+ay-bx)2.

160.(1+a)(1-a)(1+b)(1-b)(a2+b2-a2b2).161.3(x2+4y2)(x+2y)(x-2y).

162.4(2x-1)(2-x).

163.(x2+px+qx+pq)(x2-px-qx+pq).

164.(1+x-y)(1-x+y)(x2+y2+2xy+1).

(文档共11页)