Làm tính chia :
a) \(5^3:\left(-5\right)^2\)
b) \(\left(\dfrac{3}{4}\right)^5:\left(\dfrac{3}{4}\right)^3\)
c) \(\left(-12\right)^3:8^3\)
Làm tính chia :
a) \(\left(x+y\right)^2:\left(x+y\right)\)
b) \(\left(x-y\right)^5:\left(y-x\right)^4\)
c) \(\left(x-y+z\right)^4:\left(x-y+z\right)^3\)
Tính :
a) \(x^{10}:\left(-x\right)^8\)
b) \(\left(-x\right)^5:\left(-x\right)^3\)
c) \(\left(-y\right)^5:\left(-y\right)^4\)
Thực hiện phép chia :
a) \(18\left(x-y\right)^{10}:2\left(x-y\right)^5\)
b) \(10\left(x-2\right)^{12}:\left(2-x\right)^{10}\)
c) \(-18\left(x-3\right)^5:2\left(3-x\right)^3\)
d) \(\left(x^2-6x+9\right):\left(x-3\right)\)
e) \(\left(x^2-x-2\right):\left(x+1\right)\)
Tính :
a) \(5x^2y^4:10x^2y\)
b) \(\dfrac{3}{4}x^3y^3:\left(-\dfrac{1}{2}x^2y^2\right)\)
c) \(\left(-xy\right)^{10}:\left(-xy\right)^5\)
Làm tính chia :
a) \(\left(\dfrac{5}{7}x^2y\right)^3:\left(\dfrac{1}{7}xy\right)^3\)
b) \(\left(-x^3y^2z\right)^4:\left(-xy^2z\right)^3\)
Câu 3
A) ĐKXĐ : (x-3)(x+3) ≠ 0
x+3≠0
x-3≠0
B) MC : (x+3)(X-3)
A= \(\dfrac{3.\left(x-3\right)}{\left(x+3\right)\left(x-3\right)}\) + \(\dfrac{x+3}{\left(x-3\right)\left(x+3\right)}\)+\(\dfrac{18}{x^2-9}\)= \(\dfrac{3x-9+x+3+18}{MC}\)= \(\dfrac{4x+12}{MC}\) =\(\dfrac{\text{4(x+3)}}{MC}\)=\(\dfrac{4}{x-3}\)
c) Tại x=1
Có \(\dfrac{4}{1-3}\)=\(\dfrac{4}{-2}\)=-2
chứng minh rằng với mọi số thực x,y luôn có :
\(\left(x^3+y^3\right)^2\le\left(x^2+y^2\right)\left(x^4+y^4\right)\)
cho a,b >0 chứng minh răng : \(\left(a+b\right)\left(\dfrac{1}{a}+\dfrac{1}{b}\right)\ge4\)