x( x + 2 )( 2 - x )
rút gọn hộ mik và cách làm nhé ^^
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Bài 1:
a)
<=> 3x - 18 - 5x + 10 = 24
<=> 3x - 5x = 24 + 18 - 10
<=> -2x = 32
<=> x = 32 : (-2)
<=> x = -16
b)
<=> -4x + 20 - 8x + 16 = 48
<=> -4x - 8x = 48 - 20 - 16
<=> -12x = 12
<=> x = 12 : (-12)
<=> x = -1
Bài 2:
\(=a^2-ab+ab-b^2\)
\(=a^2-b^2\)
a) 3(x-6)-5(x-2) = 24
<=> 3x -36 -5x + 10 =24
<=> -2x = 50
<=> x = -25
b) -4(x-5) -8(x-2) = 48
<=> -4x +20 - 8x +16 = 48
<=> -12x = 12
<=> x = -1
(a+b)(a-b) = a^2 -ab +ab -b^2 = a^2 - b^2
a,\(A=\left(\frac{2x-x^2}{2\left(x^2+4\right)}-\frac{2x^2}{\left(x^2+4\right)\left(x-2\right)}\right)\left(\frac{2x+x^2\left(1-x\right)}{x^3}\right)\left(ĐKXĐ:x\ne2;x\ne0\right)\)
\(A=\frac{\left(2x-x^2\right)\left(x-2\right)-4x^2}{2\left(x^2+4\right)\left(x-2\right)}.\frac{-x^3+x^2+2x}{x^3}\)
\(=\frac{-x^3-4x}{2\left(x^2+4\right)\left(x-2\right)}.\frac{x^2-x-2}{-x^2}\)
\(=\frac{-x\left(x^2+4\right)}{2\left(x^2+4\right)\left(x-2\right)}.\frac{\left(x-2\right)\left(x+1\right)}{-x^2}=\frac{x+1}{2x}\)
b, \(A=x\Leftrightarrow\frac{x+1}{2x}=x\Rightarrow2x^2=x+1\Leftrightarrow2x^2-x-1=0\)
\(\Leftrightarrow\left(2x+1\right)\left(x-1\right)=0\Leftrightarrow\orbr{\begin{cases}x=-\frac{1}{2}\\x=1\end{cases}}\)(thỏa mãn điều kiện)
c, \(A\in Z\Leftrightarrow\frac{x+1}{2x}\in Z\Leftrightarrow x+1⋮\left(2x\right)\)
\(\Leftrightarrow2x+2⋮2x\Leftrightarrow2⋮2x\Leftrightarrow1⋮x\Leftrightarrow x=\pm1\) (thỏa mãn ĐKXĐ)
1. \(S=1+3+3^2+3^3+........+3^{2019}+3^{2020}\)
\(\Rightarrow3S=3+3^2+3^3+3^4+........+3^{2020}+3^{2021}\)
\(\Rightarrow3S-S=3^{2021}-1\)
\(\Rightarrow2S=3^{2021}-1\)
\(\Rightarrow S=\frac{3^{2021}-1}{2}\)
2. \(\left(3x-2\right)^3=64\)
\(\Leftrightarrow\left(3x-2\right)^3=4^3\)
\(\Leftrightarrow3x-2=4\)
\(\Leftrightarrow3x=6\)
\(\Leftrightarrow x=2\)
Vậy \(x=2\)
[3x-2]^3=64
Ta có:64=4^3
Suy ra:3x-2=4
3x =4+2
3x=6
x=6:3
x=2
a) | x2 + 2 | + | x2 + 1 | = x2 + 2 + x2 + 1 = 2x2 + 3
b) | 2x - 3 | + | 3x - 2 | = 2x - 3 + 3x - 2 = 5x - 5 = 5( x - 1 ) với x > 2
c) | x - 4 | + | 5 - x | = -( x - 4 ) + 5 - x = -x + 4 + 5 - x = -2x + 9 ( với 4 > x )
d) | 1 - x2 | - | 1 + x2 | = -( 1 - x2 ) - ( 1 + x2 ) = -1 + x2 - 1 - x2 = -2 ( với x > 1 )
\(\dfrac{x-2\sqrt{x}}{x-4}=\dfrac{\sqrt{x}\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}=\dfrac{\sqrt{x}}{\sqrt{x}+2}\)
Ta có: x(x+2)(2-x)
= (x2+2x)(2-x)
=2x2+4x-x3-2x2
= 4x-x3
= x(22-x2)