bài 1 Tim x a, 0,6x(x-0,5)-0,3x(2x+1,3)=0,138. , b, 3x2-3x(-2+x)=36. c, 2.(5x-8)-3(4x-5)=4(3x-4)+11 d, 1/3x2-4x+2x(2-3x)=0. e, 5x-3{4x-2(5x-2)]}=182 bài 2 thực hiện phép tính a, (-2x3-1/4y-4yz)8xy2 c,-6x+3(7+2x) e, 1/3xz(-9xy+15yz)+3x2(2yz2-yz)
Thực hiện phép tính:
a) \((x-3)(2x+5)\)
b) \((x^2y^3+18x^2y^2-3xy^2) : 9xy^2\)
a) (x - 3)(2x + 5)
= 2x2 + 5x - 6x - 15
= 2x2 - x - 15
b) (x2y3 + 18x2y2 - 3xy2) : 9xy2
= 9xy + 2x - \(\frac{1}{3}\)
Trần Tuyết Tâm
Bài 3:
3: \(6x\left(x-y\right)-9y^2+9xy\)
\(=6x\left(x-y\right)+9xy-9y^2\)
\(=6x\left(x-y\right)+9y\left(x-y\right)\)
\(=\left(x-y\right)\left(6x+9y\right)\)
\(=3\left(2x+3y\right)\left(x-y\right)\)
Bài 4:
Thực hiện phép tính
a, \(A=\left(3x^2y-11x^2-5y\right)\left(8xy-5x+6\right)\)
b,\(B=\left(-4x^2y-5x^2+3y^2\right)\left(2x^2-xy+3y^2\right)\)
c,\(C=5\left(2x-1\right)^2+4\left(x-1\right)\left(x+3\right)-2\left(3x-1\right)\left(3x+1\right)\)
A= 3x2 y-11x2-5y.8xy-5+6
=(3-11-5.8-5+6).(x2.x2.x).(y.y.y)
=-47x5y3
Tìm đa thức P, biết: a, P+ ( 3x^2-4xy )= 6y^2-9xy+x^2 b, ( 4y^2-8xy )-P=5x^2-12xy+4y^2 c, P- ( x^2-2y^2+3z^2 )+ ( 3x^2-y^2+2z^2 )=2x^2-3y^2-z^2
Bài1: Thực hiện phép tính
a) 2x(3x2 – 5x + 3) b) - 2x ( x2 + 5x+3)
Bài 4: Tìm x, biết.
a/ 3x + 2(5 – x) = 0 b/ x(2x – 1)(x + 5) – (2x2 + 1)(x + 4,5) = 3,5
c/ 3x2 – 3x(x – 2) = 36.
II. PHÂN TÍCH ĐA THỨC THÀNH NHÂN TỬ
Bài1: Phân tích đa thức thành nhân tử.
a/ 14x2y – 21xy2 + 28x2y2 b/ x(x + y) – 5x – 5y.
c/ 10x(x – y) – 8(y – x). d/ (3x + 1)2 – (x + 1)2
e/ 5x2 – 10xy + 5y2 – 20z2. f/ x2 + 7x – 8
g/ x3 – x + 3x2y + 3xy2 + y3 – y h/ x2 + 4x + 3.
Bài 1:
a: \(=6x^3-10x^2+6x\)
b: \(=-2x^3-10x^2-6x\)
Bài 4:
a: =>3x+10-2x=0
=>x=-10
c: =>3x2-3x2+6x=36
=>6x=36
hay x=6
Bài 1:
\(a,=6x^3-10x^2+6x\\ b,=-2x^3-10x^2-6x\)
Bài 4:
\(a,\Leftrightarrow3x+10-2x=0\Leftrightarrow x=-10\\ b,\Leftrightarrow x\left(2x^2+9x-5\right)-\left(2x^3+9x^2+x+4,5\right)=3,5\\ \Leftrightarrow2x^3+9x^2-5x-2x^3-9x^2-x-4,5=3,5\\ \Leftrightarrow-6x=8\Leftrightarrow x=-\dfrac{4}{3}\\ c,\Leftrightarrow3x^2-3x^2+6x=36\Leftrightarrow x=6\)
Bài 1:
\(a,=7xy\left(2x-3y+4xy\right)\\ b,=x\left(x+y\right)-5\left(x+y\right)=\left(x-5\right)\left(x+y\right)\\ c,=\left(x-y\right)\left(10x+8\right)=2\left(5x+4\right)\left(x-y\right)\\ d,=\left(3x+1-x-1\right)\left(3x+1+x+1\right)\\ =2x\left(4x+2\right)=4x\left(2x+1\right)\\ e,=5\left[\left(x-y\right)^2-4z^2\right]=5\left(x-y-2z\right)\left(x-y+2z\right)\\ f,=x^2+8x-x-8=\left(x+8\right)\left(x-1\right)\\ g,\left(x+y\right)^3-\left(x+y\right)=\left(x+y\right)\left[\left(x+y\right)^2-1\right]\\ =\left(x+y\right)\left(x+y-1\right)\left(x+y+1\right)\\ h,=x^2+3x+x+3=\left(x+3\right)\left(x+1\right)\)
Thực hiện phép tính (9x^2y^3-15x^4y^4):3x^2y-(2-3x^2y)y^2
-1/3xz(-9xy+15yz)+3x2(2yz2-yz) , (-2x3-1/4y-4yz).8xy2 , 2x2-3x+4x(1-1/2x) ( Đề bài : Thực hiện các phép tính )
\(\left(-2x^3-\dfrac{1}{4}y-4yz\right).8xy^2\)
\(=-2x^3.8xy^2-\dfrac{1}{4}y.8xy^2-4yz.8xy^2\)
\(=-16x^4y^2-2xy^3-32xy^3z\)
Chúc bạn học tốt!!!
\(-\dfrac{1}{3}xz\left(-9xy+15yz\right)+3x^2\left(2yz^2-yz\right)\)
\(=-\dfrac{1}{3}xz\cdot-9xy+-\dfrac{1}{3}xz\cdot15yz+3x^2\cdot2yz^2-3x^2\cdot yz\)
\(=\left(-\dfrac{1}{3}\cdot-9\right)\left(x\cdot x\right)yz+\left(-\dfrac{1}{3}\cdot15\right)xy\left(z\cdot z\right)+\left(3.2\right)\left(x^2\cdot yz^2\right)-3\left(x^2\cdot yz\right)\)
=\(3x^2yz+-5xyz^2+6x^2yz^2-3x^2yz\)
\(=\left(3x^2yx-3x^2yx\right)-5x^2yz^2+6x^2yz\)
\(=-5x^2yz^2+6x^2yz\)
1. \(-\dfrac{1}{3}xz\left(-9xy+15yz\right)+3x^2\left(2yz^2-yz\right)\)
\(=3x^2yz-5xyz^2+6x^2yz^2-3x^2yz\)
Thực hiện phép nhân sau
1)-xy(x^2 + xy - y^2)
2) -5x^2y(2y^2-xy)
3)(-2x^3 - 1/4y - 4y^2)8xy^2
4)(2x^3-3xy +12x).(-1/6xy)
`a, -xy(x^2+xy-y^2)`
`= -x^3y - x^2y^2 + xy^3`.
`b, 5x^2y(2y^2-xy)`
`= 10x^2y^3 - 5x^3y^2`.
`c, (-2x^3 - 1/4y - 4y^2).8xy^2`.
`= -16x^4y^2 - 2xy^3 - 32xy^4`.
`d, (2x^3 - 3xy + 12x)(-1/6xy)`
`= -2/3x^4y + 1/2x^2y^2 - 2x^2y`.
