作业帮计算 单项式与多项式相乘
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/15 08:58:27
计算 单项式与多项式相乘
1)(-2xy^2)(1/2xy+x^2y-3y^2)
2)2xy[(2xy)^2-3y(4xy+3x^2y)-xy^2]
3)-2^2x^2y(1/4xy^2-5y+1)
4)(5/3a^2b-10/3a^3b^2+1)(-0.2ab)
5)(3a^nb^n+1)·(2/9a^5b-5/3a^nb^2+a^2n+1·b^10-n)
6)4ab[2a^2b-3b(ab-ab^2)]
1)(-2xy^2)(1/2xy+x^2y-3y^2)
2)2xy[(2xy)^2-3y(4xy+3x^2y)-xy^2]
3)-2^2x^2y(1/4xy^2-5y+1)
4)(5/3a^2b-10/3a^3b^2+1)(-0.2ab)
5)(3a^nb^n+1)·(2/9a^5b-5/3a^nb^2+a^2n+1·b^10-n)
6)4ab[2a^2b-3b(ab-ab^2)]
1)(-2xy^2)(1/2xy+x^2y-3y^2)
=-x^2y^3-2x^3y^3+6xy^4
2)2xy[(2xy)^2-3y(4xy+3x^2y)-xy^2]
=2xy[4x^2y^2-12xy^2-9x^2y^2-xy^2]
=2xy[-13xy^2-5x^2y^2]
=-26x^2y^3-10x^3y^3
3)-2^2x^2y(1/4xy^2-5y+1)
=-4x^2y(1/4xy^2-5y+1)
=-x^3y^3+20x^2y^2-4x^2y
4)(5/3a^2b-10/3a^3b^2+1)(-0.2ab)
=-1/3a^3b^2+2/3a^4b^2-1/5ab
5)(3a^nb^n+1)·(2/9a^5b-5/3a^nb^2+a^2n+1·b^10-n)
=2/3a^n+5b^n+2 -5a^2nb^n+3 + 3a^3n+1b^11
6)4ab[2a^2b-3b(ab-ab^2)]
=4ab[2a^2b-3ab^2+3ab^3]
=8a^3b^2-12a^2b^3+12a^2b^4
=-x^2y^3-2x^3y^3+6xy^4
2)2xy[(2xy)^2-3y(4xy+3x^2y)-xy^2]
=2xy[4x^2y^2-12xy^2-9x^2y^2-xy^2]
=2xy[-13xy^2-5x^2y^2]
=-26x^2y^3-10x^3y^3
3)-2^2x^2y(1/4xy^2-5y+1)
=-4x^2y(1/4xy^2-5y+1)
=-x^3y^3+20x^2y^2-4x^2y
4)(5/3a^2b-10/3a^3b^2+1)(-0.2ab)
=-1/3a^3b^2+2/3a^4b^2-1/5ab
5)(3a^nb^n+1)·(2/9a^5b-5/3a^nb^2+a^2n+1·b^10-n)
=2/3a^n+5b^n+2 -5a^2nb^n+3 + 3a^3n+1b^11
6)4ab[2a^2b-3b(ab-ab^2)]
=4ab[2a^2b-3ab^2+3ab^3]
=8a^3b^2-12a^2b^3+12a^2b^4