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\(\Leftrightarrow2x^2+2x-3x-3-\dfrac{4x^3-6x^2-6x}{2x}=18\)
\(\Leftrightarrow2x^2-x-3-2x^2+3x+3=18\)
=>2x=18
hay x=9
a, \(\left(x+3\right)^3-\left(x+2\right)\left(x-2\right)-6x^2-20\)
\(=x^3+9x^2+27x+27-\left(x^2-4\right)-6x^2-20\)
\(=x^3+9x^2+27x+27-x^2+4+6x^2+20\)
\(=x^3+14x^2+27x+51\)
b, \(\left(2x+3\right)\left(4x^2-6x+9\right)-\left(2x-3\right)\left(4x^2+6x+9\right)\)
\(=8x^3-12x^2+18x+12x^2-18x+18-\left(8x^3+12x^2+18x-12x^2-18x-18\right)\)
\(=8x^3+18-8x^3+18=36\)
c, \(\left(2x-1\right)\left(4x^2+2x+1\right)\left(2x+1\right)\left(4x^2-2x+1\right)\)
\(=\left(8x^3+4x^2+2x-4x^2-2x-1\right)\left(8x^3-4x^2+2x+4x^2-2x+1\right)\)
\(=\left(8x^3-1\right)\left(8x^3+1\right)=\left(8x^3\right)^2-1\)
\(=64x^5-1\)
d, \(\left(x+4\right)\left(x^2-4x+16\right)-\left(50+x^2\right)\)
\(=x^3-4x^2+16x+4x^2-16x+64-50-x^2\)
\(=x^3-x^2+14\)
Chúc bạn học tốt!!!
Rút gọn hết ta được :
a/ 41x - 17 = -21
=> 41x = -4 => x = 4/41
b/ 34x - 17 = 0
=> 34x = 17
=> x = 17/34 = 1/2
c/ 19x + 56 = 52
=> 19x = -4
=> x = -4/19
d/ 20x2 - 16x - 34 = 10x2 + 3x - 34
=> 10x2 - 19x = 0
=> x(10x - 19) = 0
=> x = 0
hoặc 10x - 19 = 0 => 10x = 19 => x = 19/10
Vậy x = 0 ; x = 19/10
Rút gọn hết ta được :
a/ 41x - 17 = -21
=> 41x = -4 => x = 4/41
b/ 34x - 17 = 0
=> 34x = 17
=> x = 17/34 = 1/2
c/ 19x + 56 = 52
=> 19x = -4
=> x = -4/19
d/ 20x 2 - 16x - 34 = 10x 2 + 3x - 34
=> 10x 2 - 19x = 0
=> x(10x - 19) = 0
=> x = 0 hoặc 10x - 19 = 0
=> 10x = 19
=> x = 19/10
Vậy x = 0 ; x = 19/10
Ta có: \(\left(x+3\right)^2-\left(x-2\right)\left(x+3\right)+\left(2x+1\right)^3=6x\left(2x+1\right)+\left(2x-3\right)\left(4x^2+6x+9\right)\)\(\Leftrightarrow\left(x+3\right)\left(x+3-x+2\right)+\left(2x\right)^3+12x^2+6x+1=12x^2+6x+8x^3-27\)
\(\Leftrightarrow5\left(x+3\right)+8x^3+12x^2+6x+1=8x^3+12x^2+6x-27\)
\(\Leftrightarrow5x+15+8x^3+12x^2+6x+1=8x^3+12x^2+6x-27\)
\(\Leftrightarrow8x^3+12x^2+11x+16=8x^3+12x^2+6x-27\)
\(\Leftrightarrow5x+43=0\)
\(\Leftrightarrow5x=-43\)\(\Leftrightarrow x=\frac{-43}{5}\)
Vậy \(x=-\frac{43}{5}\)
\(\left(x^2+3\right)\left(3-x^2\right)\)
\(\left(x^2+3\right)\left(-x^2+3\right)\)
\(\left(-x^2+3\right).x^2+3\left(-x^2+3\right)\)
\(-x^2.x^2+3x^2+3\left(-x^2+3\right)\)
\(-x^2.x^2+3x^2-3x^2+9\)
\(-x^2.x^2+9\)
b: \(=x^2-9-\left(x^2+3x-10\right)\)
\(=x^2-9-x^2-3x+10=-3x+1\)
c: \(=\dfrac{2x^3-x^2+x-10x^2+5x-5}{2x^2-x+1}=x-5\)
d: \(=8x^3+27-8x^3+2=29\)
\(2x^{^{ }2}+2x-3x-3-2x^2+3x+3=18\)
\(\left(2x^2-2x^2\right)\left(-3x+3x\right)\left(-3+3\right)2x\)
\(2x=18\Rightarrow x=9\)