已知a b=4,ab=2,求多项式4a^2b 4ab^2-4b 10的值
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/17 13:41:34
![已知a b=4,ab=2,求多项式4a^2b 4ab^2-4b 10的值](/uploads/image/f/4210263-63-3.jpg?t=%E5%B7%B2%E7%9F%A5a+b%3D4%2Cab%3D2%2C%E6%B1%82%E5%A4%9A%E9%A1%B9%E5%BC%8F4a%5E2b+4ab%5E2-4b+10%E7%9A%84%E5%80%BC)
(2a+3b-2ab)-(a+4b+ab)-(3ab+2b-2a)=3a-3b-6ab=3(a-b)-6ab=3*2-6*(-3)=6+18=24
ab+a=-2,ab+b=-10两等式相减,得:a-b=8-2a-{-4b-3[(ab+a)²-a]}-1/2[(ab+b)²-2b]=-2a-{-4b-3[(-2)²-
(-2ab+2a+3b)-(3ab+2b-2a)-(a+4b+ab)=-2ab+2a+3b-3ab-2b+2a-a-4b-ab=(-2ab-3ab-ab)+(2a+2a-a)+(3b-2b-4b)=-
AB=4CMBC=2AB=8CMAC=AB+BC=12CMPC=AC/2=6CMPB=BC-PC=8-6=2CM
再答:不懂欢迎追问再答:满意麻烦采纳一下谢谢
ab(a^2b^5-ab^3-b)=a^3b^6-a^2b^4-ab^2=(ab^2)^3-(ab^2)^2-ab^2=6³-6²-6=216-36-6=174
2a+3ab+2b=2a+2b+3ab=2(a+b)+3ab=2*4+3*1=11a³-a²b+a²b²+a²b-a²b²+b
(3a-4b-ab)-(a-2b+3ab)=3a-4b-ab-a+2b-3ab=2a-2b-4ab=2(a-b)-4ab=2×(-1)-4×(-2)(将a-b=-1,ab=-2代入)=-2+8=6
ab^2=-2-ab(a^2b^5-ab^3-b)=-a^3b^6+a^2b^4+ab^2=-(ab^2)^3+(ab^2)^2+ab^2=-(-2)^3+(-2)^2+(-2)=8+4-2=10
a2+2ab+b2=(a2+ab)+(ab+b2)=-2+6=4
ab^2=-6所以-ab(a^2*b^5-ab^3-b)=-a^3b^6+a^2b^4+ab^2=-(ab^2)^3+(ab^2)^2+(ab^2)=-(-6)^3+(-6)^2+(-6)=216+3
ab(36b-6b-b)=29ab^2=(30-1)*6=174
ab(ab^3+a^2b^5-b)=ab²(ab²+a²b^4-1)=6*(6+6²-1)=6*41=246
ab+2ab+ab=ab(a+2ab+b)∵a+b=2/3,ab=2,∴原式=2×(2/3+2×2)=28/3爱执着
ab+2ab+ab=ab(a+2ab+b)∵a+b=2/3,ab=2,∴原式=2×(2/3+2×2)=28/3
a-b=3,ab=-2(2a+3b-2ab)-(a+4b+ab)-(3ab+2b-2a)=2a+3b-2ab-a-4b-ab-3ab-2b+2a=3a-3b-6ab=3*3-6*(-2)=21
明显a=2b=-1,代入.
a^2+3ab+2b^2=(a^2+ab)+2X(ab+b^2)=4-2=2
(ab)^4*(a^2b)^2*(b^5)^2=a^4*b^4*a^4*b^2*b^10=a^8*b^16=(ab^2)^8=2^8=256