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Mình giải từ cuối lên , mình giải dần -)
n, <=> x(2x-1)-3(2x-1)=0
<=> (x-3)(2x-1)=0
<=> x= 3 hoặc x= 1/2
m, <=> (x+2)(x2-3x+5)-x2(x+2)=0
<=> (x+2)(x2-3x+5-x2)=0
<=> (x+2)(5-3x)=0
=> x= -2 hoặc5/3
1) (-5x+2)(-3x-4)
=15x2+20x-6x-8
=15x2+14x-8
2) (x2-2x-1)(x-3)
=x3-2x2-x-3x2+6x+3
=x3-5x2+5x+3
3) (2x-1)(x2-5x+3)
=2x3-10x2+6x-x2+5x-3
=2x3-11x2+11x-3
a) ( 3x - 1 ) ( 2x + 7 ) - ( x + 1 ) ( 6x + 5 ) = 16
<=> 6x2 + 21x - 2x - 7 - ( 6x2 - 5x + 6x - 5) = 16
<=> 6x2 + 21x - 2x - 7 - ( 6x2 + x - 5 ) = 16
<=> 6x2+ 21x - 2x - 7 - 6x2 -x + 5 = 16
<=> 18x - 2 = 16
<=> 18x = 18
=> x = 1
Vậy....
a) Ta có: \(\left(x^2-1\right)\left(x^2+2x\right)\)
\(=x^4+2x^3-x^2-2x\)
b) Ta có: \(\left(2x-1\right)\left(3x+2\right)\left(3-x\right)\)
\(=\left(6x^2+4x-3x-2\right)\left(3-x\right)\)
\(=\left(6x^2+x-2\right)\left(3-x\right)\)
\(=18x^2-6x^3+3x-x^2-6+2x\)
\(=-6x^3+17x^2+5x-6\)
c) Ta có: \(\left(x+3\right)\left(x^2+3x-5\right)\)
\(=x^3+3x^2-5x+3x^2+9x-15\)
\(=x^3+6x^2+4x-15\)
d) Ta có: \(\left(x+1\right)\left(x^2-x+1\right)\)
\(=x^3+1\)
e) Ta có: \(\left(2x^3-3x-1\right)\left(5x+2\right)\)
\(=10x^4+4x^3-15x^2-6x-5x-2\)
\(=10x^4+4x^3-15x^2-11x-2\)
f) Ta có: \(\left(x^2-2x+3\right)\left(x-4\right)\)
\(=x^3-4x^2-2x^2+8x+3x-12\)
\(=x^3-6x^2+11x-12\)
g) Ta có: \(\left(4x-1\right)\left(3x+1\right)-5x\left(x-3\right)-\left(x-4\right)\left(x-3\right)\)
\(=12x^2+4x-3x-1-5x^2+15x-\left(x^2-7x+12\right)\)
\(=7x^2+16x-1-x^2+7x-12\)
\(=6x^2+23x-23\)
h) Ta có: \(\left(5x-2\right)\left(x+1\right)-3x\left(x^2-x-3\right)-2x\left(x-5\right)\left(x-4\right)\)
\(=5x^2+5x-2x-2-3x^3+3x^2+9x-2x\left(x^2-9x+20\right)\)
\(=-3x^3+8x^2+12x-2-2x^3+18x^2-40x\)
\(=-5x^3+26x^2-28x-2\)
1)⇔x2+1x-3x+3=0
⇔x(x+1)-3(x+1)=0
⇔(x+1)(x-3)=0
⇔x+1=0 hoặc x-3=0
⇔x=-1 hoặc x=3
4)⇔x(1+5x)=0
⇔x=0 hoặc 1+5x=0
⇔x=0 hoặc 5x=-1
⇔x=0 hoặc x=-0.2
a: \(=\dfrac{6x^2-3x+4x^2+2x}{\left(2x-1\right)\left(2x+1\right)}\cdot\dfrac{\left(2x-1\right)^2}{2x\left(4x+5\right)}\)
\(=\dfrac{10x^2+x}{\left(2x+1\right)}\cdot\dfrac{2x-1}{2x\left(4x+5\right)}\)
\(=\dfrac{\left(10x^2+x\right)\left(2x-1\right)}{2x\cdot\left(2x+1\right)\left(4x+5\right)}\)
b: \(=\left(\dfrac{x}{\left(5x-1\right)\left(5x+1\right)}\cdot\dfrac{x\left(5x+1\right)}{5x}\right)\cdot\dfrac{x\left(5x+1\right)}{5x-1}+\dfrac{x}{5x-1}\)
\(=\dfrac{x}{5\left(5x-1\right)}\cdot\dfrac{x\left(5x+1\right)}{5x-1}+\dfrac{x}{5x-1}\)
\(=\dfrac{x^2\left(5x+1\right)+5x\left(5x-1\right)}{5\left(5x-1\right)^2}\)
\(=\dfrac{5x^3+x^2+25x^2-5x}{5\left(5x-1\right)^2}=\dfrac{5x^3+26x^2-5x}{5\left(5x-1\right)^2}\)
c: \(=\dfrac{x+1}{x-2}+\dfrac{1-3x}{x\left(x^2+1\right)}\cdot\dfrac{x^2+1}{x-1}\)
\(=\dfrac{x+1}{x-2}+\dfrac{1-3x}{x\left(x-1\right)}\)
\(=\dfrac{x^3-x+\left(1-3x\right)\left(x-2\right)}{x\left(x-1\right)\left(x-2\right)}\)
\(=\dfrac{x^3-x+x-2-3x^2+6x}{x\left(x-1\right)\left(x-2\right)}=\dfrac{x^3-3x^2+6x-2}{x\left(x-1\right)\left(x-2\right)}\)
khai triển tung tóe r rút gọn