(3+xy^2)^2
( 3 + xy2 )2 = 32 + 2.3. xy2 + ( xy2 )2 = 9 + 6xy2 + x2y4
chứng minh:
(a+b)3+(a-b)3=2a(a2+3b2)
Cho a + b + c = 0. Chứng minh rằng: a3+b3+c3=3abca^3+b^3+c^3=3abca3+b3+c3=3abc
Rút gọn:
(a2-b2)(a2+ab+b2)(a2-ab+b2)-a6
tìm GTNN hoặc GTLN:
a) (x+1).(x+3)+ 11
b) 5- 4x2 + 4x
c) -4 - x2 + 6x
d) |x−3|.(2-|x−3|)
e) -x2 - 4x - y2 + 2y
GIÚP MK VS
(3a+1)2+2(3a+1)(3x+5)+(3x+5)2
Tìm x,y biết :
x2+xy+y2=0
c/m: x2+y.y2+2x+4y+10>0
Cho a + 1a\dfrac{1}aa1 = 2. Tính a2a ^{2}a2 + 1a2\dfrac{1}{a^2}a21
Tìm GTNN của các biểu thức sau và GTNN của các biểu thức ứng với x và y có quan hệ NTN
A=x2+2xy+y2+16x^2+2xy+y^2+16x2+2xy+y2+16
B=9x2+6x+y2+4x+169x^2+6x+y^2+4x+169x2+6x+y2+4x+16
C=4x2+4x+5y2+5x4x^2+4x+5y^2+5x4x2+4x+5y2+5x
PLS,Help Me !!!!!
Bài 1: Tìm x
a) (5−2x)2−16=0\left(5-2x\right)^2-16=0(5−2x)2−16=0
b) x2−4x=29x^2-4x=29x2−4x=29
c) (x−3)3−(x−3).(x2+3x+9)+9.(x+1)2=15\left(x-3\right)^3-\left(x-3\right).\left(x^2+3x+9\right)+9.\left(x+1\right)^2=15(x−3)3−(x−3).(x2+3x+9)+9.(x+1)2=15
d) 2.(x−5).(x+5)−(x+2).(2x−3)+x.(x2−8)=(x+1).(x2−x+1)2.\left(x-5\right).\left(x+5\right)-\left(x+2\right).\left(2x-3\right)+x.\left(x^2-8\right)=\left(x+1\right).\left(x^2-x+1\right)2.(x−5).(x+5)−(x+2).(2x−3)+x.(x2−8)=(x+1).(x2−x+1)
Bài 2: Rút gọn
a) (x2+x+1).(x2−x+1).(x2−1)\left(x^2+x+1\right).\left(x^2-x+1\right).\left(x^2-1\right)(x2+x+1).(x2−x+1).(x2−1)
b) (a+b−c)2+(a−b+c)2−2.(b−c)2\left(a+b-c\right)^2+\left(a-b+c\right)^2-2.\left(b-c\right)^2(a+b−c)2+(a−b+c)2−2.(b−c)2
c) (a+b+c)2−(a+b)2−(a+c)2−(b+c)2\left(a+b+c\right)^2-\left(a+b\right)^2-\left(a+c\right)^2-\left(b+c\right)^2(a+b+c)2−(a+b)2−(a+c)2−(b+c)2
d) (a+b+c)2+(a−b−c)2+(b−c−a)2+(c−a−b)2\left(a+b+c\right)^2+\left(a-b-c\right)^2+\left(b-c-a\right)^2+\left(c-a-b\right)^2(a+b+c)2+(a−b−c)2+(b−c−a)2+(c−a−b)2
