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\(a,-5x\left(x-3\right)\left(2x+4\right)-\left(x+3\right)\left(x-3\right)+\left(5x-2\right)\left(3x+4\right)\)
\(=-5x\left(2x^2-x-12\right)-\left(x^2-9\right)+15x^2+20x-6x-8\)
\(=-10x^3+5x^2+60x-x^2+9+15x^2+20x-6x-8\)
\(=-10x^3+19x^2+74x+1\)
\(b,\left(4x-1\right)x\left(3x+1\right)-5x^2.x\left(x-3\right)-\left(x-4\right)x\left(x-5\right)\)\(-7\left(x^3-2x^2+x-1\right)\)
\(=\left(4x^2-x\right)\left(3x+1\right)-5x^4-15x^3-\left(x^2-4x\right)\left(x-5\right)\)\(-7x^3+14x^2-7x+7\)
\(=12x^3+x^2-x-5x^4-15x^3-x^3+9x^2+20x\)\(-7x^3+14x^2-7x+7\)
\(=-5x^4-11x^3+24x^2+12x+7\)
\(c,\left(5x-7\right)\left(x-9\right)-\left(3-x\right)\left(2-5x\right)-2x\left(x-4\right)\)
\(=5x^2-52x+63-6+17x-5x^2-2x^2+8x\)
\(=-2x^2-27x+57\)
\(d,\left(5x-4\right)\left(x+5\right)-\left(x+1\right)\left(x^2-6\right)-5x+19\)
\(=5x^2+21x-20-x^3-x^2+6x+6-5x+19\)
\(=-x^3+4x^2+22x+5\)
\(e,\left(9x^2-5\right)\left(x-3\right)-3x^2\left(3x+9\right)-\left(x-5\right)\left(x+4\right)-9x^3\)
\(=9x^3-27x^2-5x+15-9x^3-27x^2-x^2+x+20-9x^3\)
\(=-9x^3-55x^2+4x+35\)
\(g,\left(x-1\right)^2-\left(x+2\right)^2\)
\(=x^2-2x+1-x^2-4x-4\)
\(=-6x-3\)
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
a) \(\left(2x+3\right)\left(x-4\right)+\left(x-5\right)\left(x-2\right)=\left(3x-5\right)\left(x-4\right)\)
\(\Leftrightarrow\left(2x+3\right)\left(x-4\right)+\left(x-5\right)\left(x-2\right)-\left(3x-5\right)\left(x-4\right)=0\)
\(\Leftrightarrow\left(2x^2-8x+3x-12\right)+\left(x^2-2x-5x+10\right)-\left(3x^2-12x-5x+20\right)=0\)
\(\Leftrightarrow2x^2-8x+3x-12+x^2-2x-5x+10-3x^2+12x+5x-20=0\)
\(\Leftrightarrow5x-22=0\)
\(\Leftrightarrow5x=22\)
\(\Leftrightarrow x=\dfrac{22}{5}\)
Vậy \(x=\dfrac{22}{5}\)
a) (2x+3)(x-4)+(x-5)(x-2)=(3x-5)(x-4)
(2x+3)(x-4)+(x-5)(x-2)-(3x-5)(x-4)=0\(2x^2-8x+3x-12+x^2-2x-5x+10-3x^2+12x+5x-20\)=0
(\(2x^2+x^2-3x^2\))+(-8x+3x-2x-5x+12x+5x)+(-12+10-20) =0 5x-22 =0
5x = 22
x = \(\dfrac{22}{5}\)
Vậy x= \(\dfrac{22}{5}\)
b) (8x-3)(3x+2)-(4x+7)(x+4)=(2x+1)(5x-1)
(8x-3)(3x+2)-(4x+7)(x+4)-(2x+1)(5x-1)=0
\(24x^2\) +16x-9x-6\(-4x^2\) -16x-7x-28\(-10x^2\) +2x-5x+1=0
(24\(x^2-4x^2-10x^2\))+(16x-9x-16x-7x+2x-5x)+(-6-28+1)=0
10\(x^2-19x-33\)=0
10\(x^2+11x-30x-33=0\)
x(10x+11)-3(10x+11)=0
(x-3) (10x+11)=0
=>x-3=0 => x=3 =>x=3
10x+11=0 10x=-11 x=\(\dfrac{-11}{10}\)
Vậy x=3 hoặc x=\(\dfrac{-11}{10}\)
Tìm x, biết:
a) (2x+3)(x-4)+(x-5)(x-2)=(3x-5)(x-4)
<=> \(2x^2-8x+3x-12+x^2-2x-5x+10=3x^2-12x-5x+20\)
<=> \(2x^2-8x+3x+x^2-2x-5x-3x^2+12x+5x=12-10+20\)
<=> \(5x=22\)
<=> \(x=\dfrac{22}{5}\)
Vậy \(S=\left\{\dfrac{22}{5}\right\}\)
a) <=> \(2x^2-8x+3x-12+x^2-7x+10=3x^2-5x-12x+20\)
<=> \(2x^2-8x+3x-12+x^2-7x+10-3x^2+5x+12x-20=0\)
<=> \(5x-22=0\)
<=> \(5x=22\)
<=> \(x=\frac{22}{5}\)
b) <=> \(24x^2-9x+16x-6-4x^2-7x-16x-28=10x^2+5x-2x-1\)
<=> \(24x^2-9x+16x-6-4x^2-7x-16x-28-10x^2-5x+2x+1=0\)
<=> \(10x^2-19x-33=0\)
<=> \(10x^2-30x+11x-33=0\)
<=> \(10x\left(x-3\right)+11\left(x-3\right)=0\)
<=> \(\left(x-3\right)\left(10x+11\right)=0\)
<=> \(x=3;x=-\frac{11}{10}\)