Thực hiện phép tính
a) \(\frac{-2}{3}\)xy2 ( \(\frac{1}{2}\)xy - 6x + 1)
b) ( x2 + 2xy + y2 ).( x + 3y)
Thực hiện phép tính
a) 3x(5x2 - 2x - 1); b) (x2 - 2xy + 3)(-xy); c) (6x5y2 - 9x4y3 + 15x3y4): 3x3y2 d) (2x3 - 21x2 + 67x - 60): (x -
| e) (x - 7)(x - 5); f) (x2y - xy + xy2 + y3). 3xy2; g)(2x3-9x2+19x-15):(x2-3x+5) h)(x3 - 3x2 + x - 3):( x - 3) |
a: \(=15x^3-6x^2-3x\)
e: \(=x^2-12x+35\)
thực hiện phép tính
a)1/2x2.2x3-4x2+3
b)2y(xy-1)(xy+1)
c)(x+2)x2-x+1
d)(x-2y)x2+2xy+4y2
a: \(\dfrac{1}{2}x^2\cdot2x^3-4x^2+3=x^5-4x^2+3\)
b: \(2y\left(xy-1\right)\left(xy+1\right)=2y\left(x^2y^2-1\right)=2x^2y^3-2y\)
Câu 1:Thực hiện phép tính
a/x(2 - 3x) + (3x3 - x2):x
b/2x(x - 3y) - (8x3y - 12x2y2):2xy
a: Ta có: \(x\left(2-3x\right)+\left(3x^3-x^2\right):x\)
\(=2x-3x^2+3x^2-x\)
=x
b: Ta có: \(2x\left(x-3y\right)-\left(8x^3y-12x^2y^2\right):2xy\)
\(=2x^2-6xy-4x^2+6xy\)
\(=-2x^2\)
(x+1)/x2+2x-3 và (-2x)/x2+7x+10
x-y/x2+xy vÀ 2x-3y/xy2
x-2y/2 và x2+y2/2x-2xy
x+2y/x2y+xy2 và x-yy/x2+2xy+y2
a: \(\dfrac{\left(x+1\right)}{x^2+2x-3}=\dfrac{\left(x+1\right)}{\left(x+3\right)\cdot\left(x-1\right)}=\dfrac{\left(x+1\right)\left(x+2\right)\left(x+5\right)}{\left(x+3\right)\left(x-1\right)\left(x+2\right)\left(x+5\right)}\)
\(\dfrac{-2x}{x^2+7x+10}=\dfrac{-2x}{\left(x+2\right)\left(x+5\right)}=\dfrac{-2x\left(x+3\right)\left(x-1\right)}{\left(x+2\right)\left(x+5\right)\left(x+3\right)\left(x-1\right)}\)
b: \(\dfrac{x-y}{x^2+xy}=\dfrac{x-y}{x\left(x+y\right)}=\dfrac{y^2\left(x-y\right)}{xy^2\left(x+y\right)}\)
\(\dfrac{2x-3y}{xy^2}=\dfrac{\left(2x-3y\right)\left(x+y\right)}{xy^2\left(x+y\right)}\)
c: \(\dfrac{x-2y}{2}=\dfrac{\left(x-2y\right)\left(x-xy\right)}{2\left(x-xy\right)}\)
\(\dfrac{x^2+y^2}{2x-2xy}=\dfrac{x^2+y^2}{2\left(x-xy\right)}\)
BT9: Thực hiện phép tính
a, xy^2+x^2y+(-2xy^2)
b, 12x^2y^3z^4+(-7x^2y^3z^4)
c, -6xy^3-(-6xy^3)+6x^3
d, -x^2/2+7/2x^2+x
e, 2x^3+3x^3-1/3x^3
f, 5xy^2+1/2xy^2+1/4xy^2
a,
$xy^2+x^2y+(-2xy^2)=xy^2-2xy^2+x^2y=-xy^2+x^2y$
b,
$12x^2y^3z^4+(-7x^2y^3z^4)=12x^2y^3z^4-7x^2y^3z^4=5x^2y^3z^4$
c,
$-6xy^3-(-6xy^3)+6x^3=-6xy^3+6xy^3+6x^3=0+6x^3=6x^3$
d,
$\frac{-x^2}{2}+\frac{7}{2}x^2+x=(\frac{7}{2}-\frac{1}{2})x^2+x$
$=3x^2+x$
e,
$2x^3+3x^3-\frac{1}{3}x^3=(2+3-\frac{1}{3})x^3=\frac{14}{3}x^3$
f,
$5xy^2+\frac{1}{2}xy^2+\frac{1}{4}xy^2=(5+\frac{1}{2}+\frac{1}{4})xy^2$
$=\frac{23}{4}xy^2$
Thực hiện phép tính
a) x. (x + y) + 5y - x2
b) (x - 2). (y + 1) - xy + 4
c) (4x2y + 12xy2 - 8xy) : (2xy)
d) (x - 4)2 - 7 + 8x
Bài 6. Cho x2 + xy = 3
Tính giá trị biểu thức M = x(x2 + y) + x2(y + 1) - 3(x + 1)
Bài 1:
a: \(x\left(x+y\right)+5y-x^2\)
\(=x^2+xy+5y-x^2\)
=xy+5y
b: \(\left(x-2\right)\left(y+1\right)-xy+4\)
\(=xy+x-2y-2-xy+4\)
=-2y+x+2
c: \(\dfrac{\left(4x^2y+12xy^2-8xy\right)}{2xy}\)
\(=\dfrac{2xy\cdot2x+2xy\cdot6y-2xy\cdot4}{2xy}\)
=2x+6y-4
d: \(\left(x-4\right)^2+8x-7\)
\(=x^2-8x+16+8x-7\)
\(=x^2+9\)
Thực hiện phép tính
a) (-x3+2x4-4-x2+7x):(x2+x-1)
b) y phần 2x2-xy + 4x phần y2-2xy
c) 6x+48 phần 7x-7 : x2-64 phần x2-2x+1
a: \(\dfrac{2x^4-x^3-x^2+7x-4}{x^2+x-1}\)
\(=\dfrac{2x^4+2x^3-2x^2-3x^3-3x^2+3x+4x^2+4x-4}{x^2+x-1}\)
=2x^2-3x+4
b: \(=\dfrac{y}{x\left(2x-y\right)}+\dfrac{4x}{y\left(y-2x\right)}\)
\(=\dfrac{y^2-4x^2}{xy\left(2x-y\right)}=\dfrac{-\left(2x-y\right)\left(2x+y\right)}{xy\left(2x-y\right)}=\dfrac{-2x-y}{xy}\)
c: \(=\dfrac{6\left(x+8\right)}{7\left(x-1\right)}\cdot\dfrac{\left(x-1\right)^2}{\left(x-8\right)\left(x+8\right)}=\dfrac{6\left(x-1\right)}{7\left(x-8\right)}\)
Bài 1: Thực hiện phép tính
a/ 5x2y (x2y– 4xy2 + 7xy)
b/ 3xy2 (x2y3 + x 2y – xy2 )
c/ 3x(12x2 + 4x – 5) + 2x(9x2 – 6x + 7)
d/ 5x(2x2 – 9x – 5) – 9x (x2 - 7x – 4)
a/ 5x2y (x2y– 4xy2 + 7xy)
`=5x^4y^2-20x^3y^3+35x^3y^2`
b/ 3xy2 (x2y3 + x 2y – xy2 )
`=3x^3y^5+3x^3y^3-3x^2y^4`
c/ 3x(12x2 + 4x – 5) + 2x(9x2 – 6x + 7)
`=36x^3+12x^2-15x+18x^3-18x^2+14x`
`=54x^3-6x^2-x`
d/ 5x(2x2 – 9x – 5) – 9x (x2 - 7x – 4)
`=10x^3-45x^2-25x-9x^3+63x^2+36x`
`=x^3+18x^2+11x`
bài 5: thực hiện phép tính
a) ( x + 3y ) ( x - 2y )
b) ( 2x - y ) ( y - 5x )
c) ( 2x - 5y ) ( y^2 - 2xy )
d) ( x - y ) ( x^2 - xy - y^2 )
\(a)\left(x+3y\right)\left(x-2y\right)\\ =x^3-2xy+3xy-6y^2\\ =x^2+xy-6y^2\\ b)\left(2x-y\right)\left(y-5x\right)\\ = 2xy-10x^2-y^2+5xy\\ =7xy-10x^2-y^2\\ c)\left(2x-5y\right)\left(y^2-2xy\right)\\ =2xy^2-4x^2y-5y^3+10xy^2\\ =12xy^2-4x^2y-5y^2\\ d)\left(x-y\right)\left(x^2-xy-y^2\right)\\ =x^3-x^2y-xy^2-x^2y+xy^2+y^3\\ =x^3-2x^2y+y^3\)