1.4第4课时单项式与多项式相乘一、选择题1.2a3·(b2-5ac)等于()A.-20a6b2cB.10a5b2cC.2a3b2-10a4cD.a7b4c-10a4c2.x3y·(xy2+z)等于()A.x4y3+xyzB.xy3+x3yzC.zx14y4D.x4y3+x3yz3.(-x7)2·(x3y+z)等于()A.x17y+x14zB.-xy3+x3yzC.-x17y+x14zD.x17y+x3yz4.[(-6)3]4.(b2-ac)等于()A.-612b2-b2cB.10a5-b2cC.612b2-612acD.b4c-a4c5.(2x)3.(x3y+z)等于()A.8x6y+x14zB.-8x6y+x3yzC.8x6y+8x3zD.8x6y+x3yz6.(2x)2.[(-y2)2+z]等于()A.4xy4+xzB.-4x2y4+4x2zC.2x2y4+2x2zD.4x2y4+4x2z7.x2.x5.(y4+z)等于()A.x7y4+x7zB.-4x2y4+4x2zC.2x2y4+2x2zD.4x2y4+4x2z8.x2·(xy2+z)等于()A.xy+xzB.-x2y4+x2zC.x3y2+x2zD.x2y4+x2z9.(a3+b2)·(-5ac)等于()A.-5a6b2-cB.5a5-b2cC.5a3b2-10a4cD.-5a4c-5ab2c10.2(a2+b5)·a2等于()A.a2c+b5cB.2a4+2b5a2C.a4+2b5a2D.2a4+ba2二、填空题11.5x2·(xy2+z)等于;
12.2a2·(ab2+4c)等于;13.2a2·(3ab2+7c)等于;14.(-2a2)·(3a+c)等于;15.(-4x2)·(3x+1)等于;三、计算题16.2a·(a+1)-a(3a-2)+2a2(a2-1)17.3ab·(a2b+ab2-ab)答案:1.C2.D3.A4.C5.C6.D7.A8.C9.D10.B11.5x3y2+5x2z12.2a3b2+8a2c13.6a3b2+14a2c14.-6a3-2a2c15.-12x3-4x216.解:2a·(a+1)-a(3a-2)+2a2(a2-1)=2a2+2a-3a2+2a+2a4-2a2=2a4-3a2+4a
17.解:3ab·(a2b+ab2-ab)=3ab·a2b+3ab·ab2-3ab·ab=3a3b2+3a2b3-3a2b2