Ai giải cho mình rồi mình tích cho:
9x.27x.3x+1=93.(52-22)
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x3 - 3x2 - 9x - 5 = (x3 - 5x2) + (2x2 -10x) + (x - 5) = x2 (x - 5) + 2x(x - 5) + (x - 5) = (x - 5)(x2 + 2x + 1) = (x - 5)(x + 1)2
x^3-3x^2-9x-5
=x^3-5x^2+2x^2-10x+x-5
=x^2(x-5)+2x(x-5)+(x-5)
=(x-5)(x^2+2x+1)
=(x-5)(x+1)^2
27x3 + 27x2 + 9x + 1 + x + 1/3
= ( 27x3 + 27x2 + 9x + 1 ) + 1/3( 3x + 1 )
= ( 3x + 1 )3 + 1/3( 3x + 1 )
= ( 3x + 1 )[ ( 3x + 1 )2 + 1/3 ]
= ( 3x + 1 )( 9x2 + 6x + 1 + 1/3 )
= ( 3x + 1 )( 9x2 + 6x + 4/3 )
a) \(27x^3+27x^2+9x+1=\left(3x+1\right)^3\)
b) \(-x^3-3x^2-3x-1=-\left(x^3+3x^2+3x+1\right)=-\left(x+1\right)^3\)
c) \(-8+12x-6x^2+x^3=\left(x-2\right)^3\)
a) 9x4+16y6-24x2y3
=(3x2)2-2.3x2.4y3+(4y3)2
=(3x2-4y3)2
b) 16x2-24xy+9y2
=(4x)2-2.4x.3y+(3y)2
=(4x-3y)2
c) 36x2-(3x-2)2
=(36x-3x+2)(36x+3x-2)
=(33x+2)(39x-2)
d) 27x3+54x2y+36xy2+8y3
=(3x)3+3.(3x)2.2y+3.3x.(2y)2+(2y)3
=(3x+2y)3
e) y9-9x2y6+27x4y3-27x6
=(y3)3-3.(y3)2.3x2+3.y3.(3x2)2-(3x2)3
=(y3-3x2)3
f) 64x3+1
= (4x)3+13
=(4x+1)[(4x)2-4x.1+12]
=(4x+1)(16x2-4x+1)
e) 27x6-8x3 *sửa đề*
=(3x2)3-(2x)3
=(3x2-2x)[(3x)2+3x2.2x+(2x)2]
=(3x2-2x)(9x2+6x3+4x2)
~~~
\(x^3+9x^2+27x+26=0\)
\(\Leftrightarrow\left(x+2\right)\left(x^2+7x+13\right)=0\Rightarrow x=-2\)
\(x^3+9x^2+27x+26=0\)
\(\Leftrightarrow x^3+9x^2+27x+27=1\)
\(\Leftrightarrow\left(x+3\right)^3=1^3\)
\(\Leftrightarrow x+3=1\Leftrightarrow x=-2\)
a: \(9x^3y^2+3x^2y^2\)
\(=3x^2y^2\cdot3x+3x^2y^2\cdot1\)
\(=3x^2y^2\left(3x+1\right)\)
b: \(x^2-2x+1-y^2\)
\(=\left(x^2-2x+1\right)-y^2\)
\(=\left(x-1\right)^2-y^2\)
\(=\left(x-1-y\right)\left(x-1+y\right)\)
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9x.27x.3x+1=93.(52-22)
=>(32)x.(33)x+3x+1=....
=>32x*33x+3x+1=....
=>36x+1=....
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