xn - 3 + n + 3y3 - xn - 3 + 3y3 + n - 3 + x3 + n - 3yn - 3 + 3 - x3yn - 3 + n + 3
= x2ny3 - xnyn + xnyn - x3y2n
= x2ny3 - x3y2n.
xn - 3 + n + 3y3 - xn - 3 + 3y3 + n - 3 + x3 + n - 3yn - 3 + 3 - x3yn - 3 + n + 3
= x2ny3 - xnyn + xnyn - x3y2n
= x2ny3 - x3y2n.
Rút gọn \(x^{n-3}y^3\left(x^{n+3}-x^3y^{n-3}\right)+x^3y^{n-3}\left(x^{n-3}y^3-y^{n+3}\right)\)
Rút gọn biểu thức sau : \(x^{n-3}y^3\left(x^{n+3}-x^3y^{n-3}\right)+x^3y^{n-3}\left(x^{n-3}y^3-y^{n+3}\right)\)
1. Làm tính chia :
\(\left(x^3+8y^3\right):\left(x+2y\right)\)
2. Tìm số tự nhiên n để phép chia sau là phép chia hết :
a) \(\left(5x^3-3x^2+x\right):3x^n\)
b) \(\left(12x^3y^7+9x^4y^5-3x^5y^8\right):3x^{n+1}y^{n+3}\)
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) \(\left(\dfrac{1}{x^2+x}-\dfrac{2-x}{x+1}\right):\left(\dfrac{1}{x}+x-2\right)\)
thực hiện phép chia:
a) \(\left(x-y\right)^5-\left(y-x\right)^3\)
b) \(\left(3y-6x\right)^3:9\left(2x-y\right)\)
c) \(\left[3\left(x-y\right)^5-2\left(x-y\right)^4+3\left(x-y\right)^2\right]:\left[5\left(x-y\right)^2\right]\)
Các bạn giải giúp mình với!, cảm ơn nhìu nha.
Thực Hiện Phép Tính:
1.\(\left[\left(x+y\right)^7-\left(x^7+y^7\right)\right]:7xy\)
2. \(\left(3a^mb^{n-1}c^{p-2}x-7a^5b^3c^5+\frac{15}{4}a^{2mn}b^{n-1}c^{p+2}x\right):\left(-3a^{3-m}b^5c^4\right)\)
3. Chứng minh số có dạng \(A=3^{4n+1}-4^{3n+3}\)chia hết cho 17 (\(n\inℕ\)).
4. \(\left[\left(3x^2y-6x^3y^2\right):3xy+\left(3xy-1\right)x\right]^2:0,5x^2\)
Tìm n thuộc N để mỗi phép chia sau là phép chia hết
a)\(35x^9y^n:\left(-7x^7y^2\right)\)
b)\(\left(5x^3-7x^2+x\right):3x^n\)
c)\(\left(13x^4y^3-5x^3y^3+6x^2y^2\right):5x^ny^n\)
Thực hiện phép tính.
\(\left(-3x^2y^3+4x^3y^4-y^4y^5\right):\left(-x^2y^3\right)\)
1)Thực hiện phép tính
a) \(5\left(3x^{n+1}-y^{n-1}\right)-3\left(x^{n+1}+2y^{n-1}\right)+4\left(-x^{n+1}+2y^{n-1}\right)\)