CMR: 3x^2 + 2x + 4 > 0 với mọi x
a=3x2+2x+4=3(x2+23x+43)a=3x^2+2x+4=3\left(x^2+\dfrac{2}{3}x+\dfrac{4}{3}\right)a=3x2+2x+4=3(x2+32x+34)
a=3(x2+23x+19+119)a=3\left(x^2+\dfrac{2}{3}x+\dfrac{1}{9}+\dfrac{11}{9}\right)a=3(x2+32x+91+911)
a=3(x2+23x+19)+113a=3\left(x^2+\dfrac{2}{3}x+\dfrac{1}{9}\right)+\dfrac{11}{3}a=3(x2+32x+91)+311
a=3(x+13)2+113>0(đpcm)a=3\left(x+\dfrac{1}{3}\right)^2+\dfrac{11}{3}>0\left(đpcm\right)a=3(x+31)2+311>0(đpcm)
a)(x-3y)(x^2+3xy+9y^2)
b)(x^2-3)(x^4+3x^2+9)
c)(x+2y+z)(x+2-z)
d)(2x-1)*(4x^2 +2x+1)
e) (5+3x)^3
CMR: x^2 - 3x + 2 > 0 với mọi x
Tính nhanh:
a) 2012201^22012
b) 99299^2992
c) 48.52
d) 322+682+68.6432^2+68^2+68.64322+682+68.64
e) 862+362−72.8686^2+36^2-72.86862+362−72.86
CMR: x^2 - 10x + 30 > 0 với mọi x
cmr A=n3(n2-7)2-36n chia hết cho 5040
Cho : a+2b+3c=0
a2+4b2+9c2=20
Tính : a4+16b4+81c4
Cho a + b + c = 0
CM: a^3 + b^3 + c^3 = 3abc
Tính nhanh :
978^2+22^2+978*44
Tính :
x^2+6x+9 với x=997
16a2+25b2+40ab
giải pt sau
g) 11+8x-3=5x-3+x
h)4-2x+15=9x+4-2x
g)3x+22−3x+16=53+2x\dfrac{3x+2}{2}-\dfrac{3x+1}{6}=\dfrac{5}{3}+2x23x+2−63x+1=35+2x
h)x+45−x+4=4x+25−5\dfrac{x+4}{5}-x+4=\dfrac{4x+2}{5}-55x+4−x+4=54x+2−5
i)4x+35−6x−27=5x+43+3\dfrac{4x+3}{5}-\dfrac{6x-2}{7}=\dfrac{5x+4}{3}+354x+3−76x−2=35x+4+3
k) 5x+26−8x−13=4x+25−5\dfrac{5x+2}{6}-\dfrac{8x-1}{3}=\dfrac{4x+2}{5}-565x+2−38x−1=54x+2−5
m) 2x−15−x−23=xx+715\dfrac{2x-1}{5}-\dfrac{x-2}{3}=\dfrac{xx+7}{15}52x−1−3x−2=15xx+7
n)14(x+3)=3−12(x+1)−13(x+2)\dfrac{1}{4}\left(x+3\right)=3-\dfrac{1}{2}\left(x+1\right)-\dfrac{1}{3}\left(x+2\right)41(x+3)=3−21(x+1)−31(x+2)
p)x3−2x+16=x6−x\dfrac{x}{3}-\dfrac{2x+1}{6}=\dfrac{x}{6}-x3x−62x+1=6x−x
q)2+x5−0,5x=1−2x4+0,25\dfrac{2+x}{5}-0,5x=\dfrac{1-2x}{4}+0,2552+x−0,5x=41−2x+0,25