1.Tính: \(\left(\dfrac{-2}{3}x^3y^2z\right).5xy^2z^2\)
2. Tính GTBT M= \(\dfrac{2x^2y-1,2\left(3x-2y\right)}{xy}\)tại x=\(\dfrac{1}{2}\); y= 2
Tính tổng :
a) \(x^2+5x^2+\left(-3x^2\right)\)
b) \(5xy^2+\dfrac{1}{2}xy^2+\dfrac{1}{4}xy^2+\left(-\dfrac{1}{2}\right)xy^2\)
c) \(3x^2y^2z^2+x^2y^2z^2\)
a) x2+5x2+(−3x2)=3x2
b) 5xy2+12xy2+14xy2+(−12)xy2=19xy2
c) 3x2y2z2+x2y2z2=4x2y2z2
1) Thu gọn các đơn thức sau và tìm bậc:
a) \(\dfrac{1}{2}x^2.\left(-2x^2y^2z\right).\dfrac{-1}{3}x^2y^3\)
b) \(\left(-x^2y\right)^3.\dfrac{1}{2}x^2y^3.\left(-2xy^2z\right)^2\)
2) Thu gọn:
a) \(\left(-6x^3zy\right)\left(\dfrac{2}{3}yx^2\right)^2\)
b) \(\left(xy-5x^2y^2+xy^2-xy^2\right)-\left(x^2y^2+3xy^2-9x^2y\right)\)
3) Tính tổng và hiệu các đơn thức sau:
a) \(2x^2+3x^2-7x^2\)
b) \(5xy-\dfrac{1}{3}xy+xy\)
c) \(15xy^2-\left(-5xy^2\right)\)
1.
a)\(\left(\dfrac{1}{2}\cdot\left(-2\right)\cdot\dfrac{-1}{3}\right)\cdot\left(x^2\cdot x^2\cdot x^2\right)\cdot\left(y^2\cdot y^3\right)\cdot z\)
\(\dfrac{1}{3}x^6y^5z\)
Deg=12
Mấy câu kia tương tự nha cố gắng lên!
A=\(\dfrac{1}{5}x^2y^3+\dfrac{2}{3}x^2y^3-\dfrac{3}{4}x^2y^3+x^2y^3\)
B=\(\left(x^2y\right)^3.\left(\dfrac{1}{2}xy^2z\right)^2\)
Tính A+B,A-B
Helpp..
\(A=x^2y^3\left(\dfrac{1}{5}+\dfrac{2}{3}-\dfrac{3}{4}+1\right)=\dfrac{67}{60}x^2y^3\)
\(B=x^6y^3\cdot\dfrac{1}{4}x^2y^4z^2=\dfrac{1}{4}x^8y^7z^2\)
\(A+B=\dfrac{67}{60}x^2y^3+\dfrac{1}{4}x^8y^7z^2\)
\(A-B=\dfrac{67}{60}x^2y^3-\dfrac{1}{4}x^8y^7z^2\)
B=x6y3⋅14x2y4z2=14x8y7z2B=x6y3⋅14x2y4z2=14x8y7z2
A−B=6760x2y3−14x8y7z2
\(A+B=\dfrac{67}{60}x^2y^3+\left(x^6y^3\right)\left(\dfrac{1}{4}x^2y^4z^2\right)\)
\(=\dfrac{67}{60}x^2y^3+\dfrac{1}{4}x^8y^7z^2\)
\(A-B=\dfrac{67}{60}x^2y^3-\dfrac{1}{4}x^8y^7z^2\)
Tính giá trị của biểu thức
A=
\(\dfrac{1}{5}x^2y^3+\dfrac{2}{3}x^2y^3-\dfrac{3}{4}x^2y^3+x^2y^3\)
B=\(\left(x^2y\right)^3.\left(\dfrac{1}{2}xy^2z\right)^2\)
\(A=\dfrac{1}{5}x^2y^3+\dfrac{2}{3}x^2y^3-\dfrac{3}{4}x^2y^3+x^2y^3=\left(\dfrac{1}{5}+\dfrac{2}{3}-\dfrac{3}{4}+1\right)x^2y^3=\dfrac{67}{60}x^2y^3\\ B=\left(x^2y\right)^3\left(\dfrac{1}{2}xy^2z\right)^2=x^6y^3.\dfrac{1}{4}x^2y^4z^2=\dfrac{1}{4}x^8y^7z^2\)
Cho 3 số thực dương x,y,z thỏa mãn \(x+y+z=3\) Tìm giá trị nhỏ nhất của
\(P=\dfrac{\left(2x+3y+z\right)^3}{3\sqrt[3]{z^2x^2}+1}+\dfrac{\left(2y+3z+x\right)^3}{3\sqrt[3]{x^2y^2}+1}+\dfrac{\left(2z+3x+y\right)^3}{3\sqrt[3]{y^2z^2}+1}\)
Làm tính chia :
a) \(\left(5x^4-3x^3+x^2\right):3x^2\)
b) \(\left(5xy^2+9xy-x^2y^2\right):\left(-xy\right)\)
c) \(\left(x^3y^3-\dfrac{1}{2}x^2y^3-x^3y^2\right):\dfrac{1}{3}x^2y^2\)
Bài 45: (SBT/12):
a. (5x4 - 3x3 + x2) : 3x2
= (5x4 : 3x2) + (-3x3 : 3x2) + (x2 : 3x2)
=\(\dfrac{5}{2}\)x2 - x + \(\dfrac{1}{3}\)
b. (5xy2 + 9xy - x2y2) : (-xy)
= [5xy2 : (-xy)] + [9xy : (-xy)] + [(-x2y2) : (-xy)]
= -5y - 9 + xy
c. (x3y3 : \(\dfrac{1}{3}\)x2y3 - x3y2) : \(\dfrac{1}{3}\)x2y2
= (x3y3 : \(\dfrac{1}{3}\)x2y2) + (-\(\dfrac{1}{2}\)x2y3 : \(\dfrac{1}{3}\)x2y2) + (-x3y2 : \(\dfrac{1}{3}\)x2y2)
= 3xy - \(\dfrac{3}{2}\)y - 3x
Thực hiện phép tính:
a) \(\dfrac{2}{5}xy\left(x^2y-5x+10y\right)\)
b) \(\left(x^2-1\right)\left(x^2+2x+y\right)\)
c) \(\left(x+3y\right)^2\)
d) \(\left(4x-y\right)^3\)
e) \(\left(x^2-2y\right)\left(x^2+2y\right)\)
g) \(18x^4y^2z:10x^4y\)
h) \(\left(x^3y^3+\dfrac{1}{2}x^2y^3-x^3y^2\right):\dfrac{1}{3}x^2y^2\)
i) \(\left(6x^3-7x^2-x+2\right):\left(2x+1\right)\)
k) \(\dfrac{5x-1}{3x^2y}+\dfrac{x+1}{3x^2y}\)
l) \(\dfrac{3x+1}{x^2-3x+1}+\dfrac{x^2-6x}{x^2-3x+1}\)
m) \(\dfrac{2x+3}{10x-4}+\dfrac{5-3x}{4-10x}\)
n) \(\dfrac{x}{x^2+2x+1}+\dfrac{3}{5x^2-5}\)
o) \(\dfrac{x^2+2}{x^3-1}+\dfrac{2}{x^2+x+1}+\dfrac{1}{1-x}\)
p) \(\dfrac{4x+2}{15x^3y}\dfrac{5y-3}{9x^2y}+\dfrac{x+1}{5xy^3}\)
q) \(\dfrac{2x-7}{10x-4}-\dfrac{3x+5}{4-10x}\)
r) \(\dfrac{3}{2x+6}-\dfrac{x-6}{2x^2+6x}\)
x) \(\dfrac{4y^2}{11x^4}.\left(-\dfrac{3x^2}{8y}\right)\)
y) \(\dfrac{x^2-4}{3x+12}.\dfrac{x+4}{2x-4}\)
z) \(\left(x^2-25\right):\dfrac{2x+10}{3x-7}\)
t) \(\left(\dfrac{2x+1}{2x-1}-\dfrac{2x-1}{2x+1}\right):\dfrac{4x}{10x-5}\)
w) \(\left(\dfrac{1}{x^2+x}-\dfrac{2-x}{x+1}\right):\left(\dfrac{1}{x}+x-2\right)\)
c: \(=x^2+6xy+9y^2\)
e: \(=x^4-4y^2\)
Thu gọn các đơn thức trong biểu thức đại số sau:
C = \(\dfrac{7}{9}x^3y^2.\dfrac{6}{11}axy^3+-5bx^2y^4.-\dfrac{1}{2}axz+ax.\left(x^2y\right)^3\)
D = \(\dfrac{\left(3x4y^3\right)^2.\left(\dfrac{1}{6}x^2y\right)+\left(8x^{n-9}\right).\left(-2x^{9-n}\right)}{15x^3y^2\left(0,4ax^2y^2z^2\right)}\)
Sao câu hỏi của bn giống của mình vậy ???
Làm tính chia :
a) \(\left(\dfrac{5}{7}x^2y\right)^3:\left(\dfrac{1}{7}xy\right)^3\)
b) \(\left(-x^3y^2z\right)^4:\left(-xy^2z\right)^3\)
a)\(\left(\dfrac{5}{7}x^2y\right)^3:\left(\dfrac{1}{7}xy\right)^3=\dfrac{125}{343}x^5y^3:\dfrac{1}{343}x^3y^3=\left(\dfrac{125}{343}:\dfrac{1}{343}\right)\left(x^5:x^3\right)\left(y^3:y^3\right)=125x^2\)
b)\(\left(-x^3y^2z\right)^4:\left(-xy^2z\right)^3=x^7y^6z^4:x^3y^5z^3=\left(x^7:x^3\right)\left(y^6:y^5\right)\left(z^4:z^3\right)=x^4yz\)