34.x+1=27x+3
Giải phương trình: \(\left(x-2\right).\left(5x^2+10x-34\right)=18\sqrt{5x-1}.\sqrt[3]{x-1}-27x\)
`1-27x^3`
`x-3^3 +27`
`27x^3 +27x^2 +9x+1`
`(x^6)/27 - (x^4 y)/3 +x^2 y-y^3`
Phân tích thành nhân tử
\(1-27x^3\)
\(=1-\left(3x\right)^3\)
\(=\left(1-3x\right)\left(1+3x+9x^2\right)\)
\(---\)
\(x-3^3+27\)
\(=x-27+27=x\)
\(---\)
\(27x^3+27x^2+9x+1\)
\(=\left(3x\right)^3+3\cdot\left(3x\right)^2\cdot1+3\cdot3x\cdot1^2+1^3\)
\(=\left(3x+1\right)^3\)
\(---\)
\(\dfrac{x^6}{27}-\dfrac{x^4y}{3}+x^2y^2-y^3\) (sửa đề)
\(=\left(\dfrac{x^2}{3}\right)^3-3\cdot\left(\dfrac{x^2}{3}\right)^2\cdot y+3\cdot\dfrac{x^2}{3}\cdot y^2-y^3\)
\(=\left(\dfrac{x^2}{3}-y\right)^3\)
#Ayumu
1-27x\(^3\)
=(1-3x)(1+3x+9x\(^2\)
27x^3/(x-1)^3+27x^3/(x-1)^3(x+1)+9x^3/(x-1)(x+1)^3+x^3/(x+1)^3
\(\frac{27x^3^{ }}{\left(x-1\right)^3}+\frac{27x^3}{\left(x-1\right)^2\left(x+1\right)}+\frac{9x^3}{\left(x-1\right)\left(x+1\right)^2}+\frac{x^3}{\left(x+1\right)^3}\)
Thu gọnTìm x để phân thức có giá trị là 64x3 + 9x2 + 27x + 27 = 0
( x - 2 ) x - x2 (x - 6) = 4
27x3 - 27x2 + 9x - 1 = 8
(x - 1 )3 - (x + 3) . (
a: \(\Leftrightarrow\left(x+3\right)\left(x^2-3x+9\right)+9x\left(x+3\right)=0\)
=>(x+3)(x^2+6x+9)=0
=>x=-3
b: \(\Leftrightarrow x^2-2x-x^3+6x^2-4=0\)
=>-x^3+6x^2-2x-4=0
hay \(x\in\left\{5.5;1.14;-0.64\right\}\)
c: =>(3x-1)^3=8
=>3x-1=2
=>3x=3
=>x=1
Phân tích đa thức thành nhân tử
27x^3+27x^2+9x+1
-x^3-3x^2-3x-1
- 8+12x-6x^2+x^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) \(-8+12x-6x^2+x^3=\left(x-2\right)^3\)
27x3 + 27x2 + 9x +1+x+\(\frac{1}{3}\)
4x^2-4x=-1
27x^3+27x^2+9x+1=0
9x^2(x+1)-4(x+1)=0
(x+1)^3-25(x+1)=0
Giúp mình
a, \(4x^2-4x=-1\Leftrightarrow4x^2-4x+1=0\Leftrightarrow\left(2x-1\right)^2=0\Leftrightarrow x=\frac{1}{2}\)
b, \(27x^3+27x^2+9x+1=0\Leftrightarrow27x^3+1+27x^2+9x=0\)
\(\Leftrightarrow\left(3x+1\right)\left(9x^2-3x+1\right)+9x\left(3x+1\right)=0\)
\(\Leftrightarrow\left(3x+1\right)\left(9x^2+2>0\right)=0\Leftrightarrow x=-\frac{1}{3}\)
c, \(9x^2\left(x+1\right)-4\left(x+1\right)=0\Leftrightarrow\left(9x^2-4\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left(3x-2\right)\left(3x+2\right)\left(x+1\right)=0\Leftrightarrow x=-\frac{2}{3};x=\frac{2}{3};x=-1\)
d, \(\left(x+1\right)^3-25\left(x+1\right)=0\Leftrightarrow\left(x+1\right)\left[\left(x+1\right)^2-25\right]=0\)
\(\Leftrightarrow\left(x+1\right)\left(x-4\right)\left(x+6\right)=0\Leftrightarrow x=-1;x=-6;x=4\)
27x3 - 27x2 + 9x -1 =1 . Tìm x
27x3-27x2+9x-1=1
<=> (3x)3-3.9x2.1+3.3.12-13 =1 (hằng đẳng thức thứ năm)
<=> (3x-1)3=1
<=> 3x-1=1
<=> 3x=2
<=> x=2/3
Nhớ k đúng cho mik nha
27x3 - 27x2 + 9x -1 =1
<=>(3x-1)3=1 (hằng đẳng thức thứ 5)
<=> 3x-1=1
<=> x=2/3
(mk tóm tắt bn tự hiểu nha)
a.(x+1)^2-25
b. 1-4x^2
c. 8-27x^3
d. 27+27x+9x^2+x^3
e. 8x^3-12x^2y+6xy^2-y^3
f. x^3+8y^3
g. x^5-3X^4+3x^3-x^2
a: \(=\left(x+1+5\right)\left(x+1-5\right)=\left(x+6\right)\left(x-4\right)\)
b: =(1-2x)(1+2x)
c: \(=\left(2-3x\right)\left(4+6x+9x^2\right)\)
d: =(x+3)^3
e: \(=\left(2x-y\right)^3\)
f: =(x+2y)(x^2-2xy+4y^2)