CMR: 3x^2 + 2x + 4 > 0 với mọi x
\(a=3x^2+2x+4=3\left(x^2+\dfrac{2}{3}x+\dfrac{4}{3}\right)\)
\(a=3\left(x^2+\dfrac{2}{3}x+\dfrac{1}{9}+\dfrac{11}{9}\right)\)
\(a=3\left(x^2+\dfrac{2}{3}x+\dfrac{1}{9}\right)+\dfrac{11}{3}\)
\(a=3\left(x+\dfrac{1}{3}\right)^2+\dfrac{11}{3}>0\left(đpcm\right)\)
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) \(201^2\)
b) \(99^2\)
c) 48.52
d) \(32^2+68^2+68.64\)
e) \(86^2+36^2-72.86\)
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)\(\dfrac{3x+2}{2}-\dfrac{3x+1}{6}=\dfrac{5}{3}+2x\)
h)\(\dfrac{x+4}{5}-x+4=\dfrac{4x+2}{5}-5\)
i)\(\dfrac{4x+3}{5}-\dfrac{6x-2}{7}=\dfrac{5x+4}{3}+3\)
k) \(\dfrac{5x+2}{6}-\dfrac{8x-1}{3}=\dfrac{4x+2}{5}-5\)
m) \(\dfrac{2x-1}{5}-\dfrac{x-2}{3}=\dfrac{xx+7}{15}\)
n)\(\dfrac{1}{4}\left(x+3\right)=3-\dfrac{1}{2}\left(x+1\right)-\dfrac{1}{3}\left(x+2\right)\)
p)\(\dfrac{x}{3}-\dfrac{2x+1}{6}=\dfrac{x}{6}-x\)
q)\(\dfrac{2+x}{5}-0,5x=\dfrac{1-2x}{4}+0,25\)
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