phân tích đa thức thành nhân tử
a/4x-4y+x^2-2xy+y^2
b/x^4-4x^3-8x^2+8x
c/x^3+x^2-4x-4
d/x^4-x^2+2x-1
e/x^4+x^3+x^2+1
f/x^3-4x^2+4x-1
thực hiện phép tính
a, x+10/4x-8 x 4-2x/x+2
b, 1-4x^2/x^2+4x : 2-4x/3x
c, 4y^2/7x^4 : (-8y/35x^2)
d, x^2-4/3x+12 x x+4/2x-4
a, (x+10/4x-8) . (4-2x/x+2)
b, (1-4x^2/x^2+4x) : (2-4x/3x)
c, ( 4y^2/7x^4) : (-8y/35x^2)
d, (x^2-4/3x+12) . (x+4/2x-4)
Rút gọn các biểu thức sau:
a) ((1/x^2+4x+4)-(1/x^2-4x+4)):((1/x+2)+(1/x^2-2))
b)((2x/2x-y)-(4x^2/4x^2+4xy+y^2)):((2x/4x^2-y^2)+(1/y-2x))
Rút gọn biểu thức:
a, 3(x-y)^2-2(x-y)^2+(x-y)(x+y)
b, (x-2)(x^2+2x+4)-x(x-2)(x+2)+4x
c, 2(2x+5)^2-3(4x+1)(1-4x)
d, 4x^2-12+9/9-4x^2
e, x^4+x^3+x+1/x^4-x^3+2x^2-x+1
Tìm GTNN:
a) \(\dfrac{1}{-x^2+2x-4}\)
b) \(\dfrac{12}{12x-4x^2-13}\)
c) \(\dfrac{x^2-4x-4}{x^2-4x+5}\)
d) \(\dfrac{15}{-6x^2-5y^2+10xy-4x+10y-19}\)
e)\(\dfrac{x^2-2011}{4.\left(x^2+1\right)}\)
Tìm Min :
a, Y = (x+2)(x+3)(x+4)(x+5) - 24
b, Y= (4x+1)(4x+2)(4x+3)(4x+4)-3
Giai PT a, 6/x^2-1 + 5 = 8x-1/4x+4 - 12x-1/4-4x
b, 2x+1/2x-1 - 2x-1/2x+1 = 8/4x^2 -1
c, 3/2x-16 + 3x-20/x-8 + 1/8 = 13x-102/3x-24
d, x+4/x^2-3x+2 - x+1/x^2 -4x+3 = 2x+5/x^2-4x+3
a)(2x+1)^2-(4x+1)(x-2)
b)(x+7)(x-4)=2(x-4)
c)(3x-1^2)=16
d)4x^2-3x-1=0