(2x+y)³;-(x-2y)³;因式分解-4x³;y+16x²;y²;-16xy³;

(2x+y)³;-(x-2y)³;因式分解-4x³;y+16x²;y²;-16xy³;


(2x+y)³;-(x-2y)³;=((2x+y)-(x-2y))((2x+y)^2-(2x+y)(x-2y)-(x-2y)^2)=(2x+y-x+2y)(4x^2+4xy+y^2-2x^2+4xy-xy+2y^2-x^2+4xy+4y^2)=(x+3y)(x^2+11xy+7y^2)因式分解-4x³;y+16x²;y²;-16xy³;=-…



因式分解:m²;(16x-y)+n²;(y-16x)
因式分解:m²;(16x-y)+n²;(y-16x)


m²;(16x-y)+n²;(y-16x)
=m²;(16x-y)-n²;(16x-y)
=(16x-y)(m²;-n²;)
=(16x-y)(m+n)(m-n)



因式分解-16x^2y^2 12xy^5z-8xz^3
SORRY!
這個是對的!-16x^2y^2+12xy^5z-8xz^3


-16x^2y^2+12xy^5z-8xz^3
=-4(4x^2y^2-3xy^5z+2xz^3)
=-4x(4xy^2-3y^5z+2z^3)



求函數f(x)=x²;-2x的值域


f(x)=x²;-2x+1-1
=(x-1)²;-1
∴f(x)>=-1
∴它的值域是f(x)>=-1



已知x2-7x+1=0,求x2+x-2的值.


因為x2-7x+1=0,所以x≠0,則等式兩邊都除以x,得x-7+x-1=0,即x+x-1=7,所以(x+x-1)2=x2+2x.x-1+(x-1)2=49,x2+2+x-2=49,所以x2+x-2=47.



已知:x²;-7x+1=0,求x-1/x


x²;-7x+1=0(兩邊同時除以x,x≠0)
x-7+1/x=0
(x+1/x)=7
(x+1/x)^2=49
(x-1/x)^2=(x+1/x)^2-(4*x*(1/x))=49-4=45
所以
x-1/x=±√45=±3√5(x≠0)



已知|x-3/2|+(√y+1)=0,則6xy-10x²;-5yx+1+7x²;的值為【】


∵|x-3/2|+(√y+1)=0
∴x-3/2=0
y+1=0
∴x=3/2
y=-1
6xy-10x²;-5yx+1+7x²;
=xy-3x²;+1
=-3/2-27/4+1
=-29/4



額3x²;-8=7x求X的值額快點啊


3x²;-8=7x
3x²;-7x-8=0
x=(7±√145)/6



已知2x²;-7x+2=0,求x²;+x的-²;的值


2x²;-7x+2=0
2x²;+2=7x
兩邊同除以2x得:
x+1/x=7/2
兩邊平方得:
x²;+1/x²;=49/4-2=41/4



求y=(x^2-4x+13)/(x-1)x屬於[2,5]的值域


x=2時,y=(4-8+13)/1=9
x=5時,y=(25-20+13)/4=9/2
y=(x^2-4x+13)/(x-1)
y'=[(2x-4)(x-1)-x^2+4x-13]/(x-1)^2
=(x^2-2x-9)/(x-1)^2
=[(x-1)^2-10]/(x-1)^2
(x-1)^2