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a: \(\dfrac{x^2-xy+y^2}{x^2+2xy+y^2}\cdot\dfrac{x^2+3xy+2y^2}{x^2-3xy+2y^2}\)
\(=\dfrac{x^2-xy+y^2}{\left(x+y\right)^2}\cdot\dfrac{\left(x+2y\right)\left(x+y\right)}{\left(x-2y\right)\left(x-y\right)}\)
\(=\dfrac{\left(x^2-xy+y^2\right)\left(x+2y\right)}{\left(x-2y\right)\left(x^2-y^2\right)}\)
b: \(\dfrac{x^2+1}{3x}:\dfrac{x^2+1}{x-1}:\dfrac{x^3-1}{x^2+x}:\dfrac{x^2+2x+1}{x^2+x+1}\)
\(=\dfrac{x-1}{3x}\cdot\dfrac{x\left(x+1\right)}{\left(x-1\right)\left(x^2+x+1\right)}\cdot\dfrac{x^2+x+1}{\left(x+1\right)^2}\)
\(=\dfrac{x\left(x+1\right)}{3x\left(x+1\right)^2}=\dfrac{1}{3\left(x+1\right)}\)
sau bạn đăng tách ra cho mn cùng giúp nhé
a, \(\left(-2x^5+3x^2-4x^3\right):2x^2=-x^3+\frac{3}{2}-2x\)
b, \(\left(x^3-2x^2y+3xy^2\right):\left(-\frac{1}{2}x\right)=-\frac{x^2}{2}+xy-\frac{3y^2}{2}\)
c, \(\left(3x^2y^2+6x^3y^3-12xy^2\right):3xy=xy+2x^2y^2-4y\)
d, \(\left(4x^3-3x^2y+5xy^2\right):\frac{1}{2}x=2x^2-\frac{3xy}{2}+\frac{5y^2}{2}\)
e, \(\left(18x^3y^5-9x^2y^2+6xy^2\right):3xy^2=6x^2y^3-3x+2\)
f, \(\left(x^4+2x^2y^2+y^4\right):\left(x^2+y^2\right)=\left(x^2+y^2\right)^2:\left(x^2+y^2\right)=x^2+y^2\)
a) ( 3x + 2y - 1 )( x - 5 ) - ( x - 2 )2y
= 3x(x - 5) + 2y(x - 5) - 1(x - 5) - ( 2xy - 4y )
= 3x2 - 15x + 2xy - 10y - x + 5 - 2xy + 4y
= 3x2 - 16x - 6y + 5
b) ( 3x - 2 )( 3x + 2 ) - ( 2x + 1 )( 4x + 3 )
= [ ( 3x )2 - 22 ] - ( 8x2 + 10x + 3 )
= 9x2 - 4 - 8x2 - 10x - 3
= x2 - 10 - 7
a) x2-y2
= (x-y)x(x+y)
=(87+13)x(87-13)
=100x74
=7400
b) x3-3x2+3x-1
=x3-3x21+3x12-13=(x-1)3
=(101-1)3
=1003
=1000000
c) x3+9x2+27x+27
=x3+3x23+3x32+33
=(x+3)3
=(97+3)3
=1003
=1000000
Bài cũn dễ mà 
1 ) Thực hiện phép tính :
a ) \(-\frac{1}{3}xz\left(-9xy+15yz\right)+3x^2\left(2yz^2-yz\right)\)
\(=3x^2yz-5xyz^2+6x^2yz^2-3x^2yz\)
\(=-5xyz^2+6x^2yz^2\)
b ) \(\left(x-2\right)\left(x^2-5x+1\right)-x\left(x^2+11\right)\)
\(=x^3-5x^2-x-2x^2+10x-2-x^3-11x\)
\(=-7x^2-2x-2-x^3\)
c ) \(\left(x^3+5x^2-2x+1\right)\left(x-7\right)\)
\(=x^4+5x^3-2x^2+x-7x^3-35x^2+14x-7\)
\(=x^4-2x^3-37x^2+15x-7\)
d ) \(\left(2x^2-3xy+y^2\right)\left(x+y\right)\)
\(=2x^3-3x^2y+xy^2+2x^2y-3xy^2+y^3\)
\(=2x^3-x^2y-2xy^2+y^3\)
e ) \(\left[\left(x^2-2xy+2y^2\right)\left(x+2y\right)-\left(x^2-4y^2\right)\left(x-y\right)\right]2xy\)
( để xem lại )
2 Tìm x
a ) \(6x\left(5x+3\right)+3x\left(1-10x\right)=7\)
\(\Leftrightarrow30x^2+18x+3x-30x^2=7\)
\(\Leftrightarrow21x=7\)
\(\Leftrightarrow x=3\)
b ) Sai đề
c ) \(\left(x+1\right)\left(x+2\right)\left(x+5\right)-x^2\left(x+8\right)=27\)
( Để xem lại )
mình chép đúng theo đề cô cho mà sao lại sai được ,hay cô cho sai đề
a) \(\left(3x+2y\right)\left(x^2-3xy+1\right)=3x^3-9x^2+3x+2yx^2-6xy^2+2y\)
b) (x+3)(x-3)(x+1)=(x2-9)(x+1)=x3-9x+x2-9
a) \(\left(3x+2y\right)\left(x^2-3xy+1\right)\)
\(=\left(3x+2y\right)x^2-\left(3x+2y\right)\cdot3xy+\left(3x+2y\right)\cdot1\)
\(=3x^3+2x^2y-9x^2y-6xy^2+3x+2y\)
b) \(\left(x+3\right)\left(x-3\right)\left(x+1\right)\)
\(=\left(x^2-3^2\right)\left(x+1\right)\)
\(=\left(x^2-9\right)x+\left(x^2-9\right)\cdot1\)
\(=x^3-9x+x^2-9\)