thực hiện phép tính
a. 2x(x2 - xy3)
b.(12x3y5 - 21x4y2):3x2y2
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Thực hiện phép tính:
a) 2x (3x2 + 4x + 1) - 6x3
b) (3x2y2 + 6x2y3 - 12xy) : 3xy
c) 10x / x2 - 4 + 3 / x + 2 - 5/x-2
a) \(=6x^3+8x^2+2x-6x^3=8x^2+2x\)
b) \(=\left[3xy\left(xy+2xy^2-4\right)\right]:3xy=xy+2xy^2-4\)
c) \(=\dfrac{10x}{\left(x-2\right)\left(x+2\right)}+\dfrac{3}{x+2}-\dfrac{5}{x-2}=\dfrac{10x+3\left(x-2\right)-5\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}=\dfrac{8x-16}{\left(x-2\right)\left(x+2\right)}=\dfrac{8\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}=\dfrac{8}{x+2}\)
a, \(=6x^3+12x^2+2x-6x^3\\=12x^2+2x\)
b,
\(=xy+2xy^2-4\)
c,
\(\dfrac{10x}{x^2-4}+\dfrac{3}{x+2}-\dfrac{5}{x-2}\)
\(=\dfrac{10x}{\left(x-2\right)\left(x+2\right)}+\dfrac{3x-6}{\left(x-2\right)\left(x+2\right)}-\dfrac{5x+10}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{10x+3x-6-5x-10}{\left(x-2\right)\left(x+2\right)}=\dfrac{8x-16}{\left(x-2\right)\left(x+2\right)}=\dfrac{8\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}=\dfrac{8}{x+2}\)
Thực hiện phép tính:
a) 10x3y4 : 5x2y
b) (3x2y2 + 6x2y3 -12xy) : 3xy
c) (x2 – 16) : (x – 4)
d) (x2 + 10x + 25) : (x+5)
\(a,=2xy^3\\ b,=xy+3xy^2-4\\ c,=\left(x-4\right)\left(x+4\right):\left(x-4\right)=x+4\\ d,=\left(x+5\right)^2:\left(x+5\right)=x+5\)
Thực hiện phép chia dài
(15x3y2 – 6x2y – 3x2y2) : 6x2y
(4x2 - 9y2 ) : ( 2x - 3y )
(153y2-6x2y-3x2y2):6x2y
=\(\dfrac{5}{2}\)xy-1-\(\dfrac{1}{2}\)y
(4x2-9y2):(2x-3y)
=(2x-3y)(2x+3y):(2x-3y)
=2x+3y
Thực hiện phép chia
a). (3x2y2 + 6x2y3 - 12xy) : 3xy
b). (2x3 + 5x2 - 2x + 3) : (2x2 - x + 1)
\(b,=3xy\left(xy+2xy^2-4\right):3xy\\ =xy+2xy^2-4\\ c,=\left[\left(2x^3-x^2+x\right)+\left(6x^2-3x+3\right)\right]:\left(2x^2-x+1\right)\\ =\left[x\left(2x^2-x+1\right)+3\left(2x^2-x+1\right)\right]:\left(2x^2-x+1\right)\\ =\left[\left(x+3\right)\left(2x^2-x+1\right)\right]:\left(2x^2-x+1\right)\\ =x+3\)
Thực hiện phép tính: (x3 – 8) : (x – 2)
A. x2 + 2 B. x2 – 2x + 4
C. x2 – 4 D. x3 + 2x + 4
Thực hiện phép tính :
a, (3x - 2)2 - 2x(x - 7)
b, 1/x2 - 1 + 1/2x - 2 + 1/2x + 2
a: =9x^2-12x+4-4x^2+14x
=5x^2+2x+4
b: \(=\dfrac{2+x+1+x-1}{2\left(x-1\right)\left(x+1\right)}=\dfrac{2x+2}{2\left(x-1\right)\left(x+1\right)}=\dfrac{1}{x-1}\)
Thực hiện phép tính :
a) (4x2-5x2-3-3x2+9x) : (x2-3)
b) (4x2+4xy+y2) : (2x+y)
c) (x2-6xy+9y2) : (3y-x)
b) \(\left(4x^2+4xy+y^2\right):\left(2x+y\right)=\dfrac{\left(2x+y\right)^2}{2x+y}=2x+y\)
c) \(\left(x^2-6xy+9y^2\right):\left(3y-x\right)=\dfrac{\left(3y-x\right)^2}{3y-x}=3y-x\)
Thực hiện các phép tính:
b ) ( 6 x 3 – x 2 – 14 x + 3 ) : ( 2 x – 3 )
Vậy (6x3 – x2 – 14x + 3) : (2x – 3) = 3x2 + 4x – 1
V . CÁC PHÉP TOÁN VỀ PHÂN THỨC :
Bài 1 : Thực hiện các phép tính sau :
b) x+3/x-2+4+x/2-x
Bài 2 : Thức hiện các phép tính sau :
a) x+1/2x+6+2x+3/x2+3x
d) 3/2x2y +5/xy2 + x/y3
e) x/x-2y +x/x+2y + 4xy/4y2-x2
g) x+3/x+1 +2x-1/x-1 +x+5/X2-1 ;
Bài 1:
b: \(=\dfrac{x+3-4-x}{x-2}=\dfrac{-1}{x-2}\)
Bài 2:
a: \(=\dfrac{x+1}{2\left(x+3\right)}+\dfrac{2x+3}{x\left(x+3\right)}\)
\(=\dfrac{x^2+x+4x+6}{2x\left(x+3\right)}=\dfrac{x^2+5x+6}{2x\left(x+3\right)}=\dfrac{x+2}{2x}\)
d: \(=\dfrac{3}{2x^2y}+\dfrac{5}{xy^2}+\dfrac{x}{y^3}\)
\(=\dfrac{3y^2+10xy+2x^3}{2x^2y^3}\)
e: \(=\dfrac{x^2+2xy+x^2-2xy-4xy}{\left(x+2y\right)\left(x-2y\right)}=\dfrac{2x^2-4xy}{\left(x+2y\right)\cdot\left(x-2y\right)}=\dfrac{2x}{x+2y}\)