a) \(x^{n+1}y:3x^3y^{n-1}\)
b) \(\left(a+b\right)^{5n}.\left(a-b\right)^7:\left(a+b\right)^{15}.\left(a-b\right)^n\)
c) \(\left(21x^2y^3+9x^4y^2+7x^5y^3\right):7x^{n+1}y^{n+1}\)
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)\(\left(13x^4y^3-5x^3y^3+6x^2y^2\right):5x^ny^n\)
RUT GON PHAN THUC
1) \(\frac{\left(x-y\right)^3-3xy\left(x+y\right)+y^3}{x-6y}\)
2) \(\frac{a^2\left(b-c\right)+b^2\left(c-a\right)+c^2\left(a-c\right)}{ab^2-ac^2-b^3+bc^2}\)
3) \(\frac{2x^3-7x^2-12x+45}{3x^3-19x^2+33x-9}\)
\(N=\left(3x^2-7x\right)\left(x-2\right)\)
a) \(^{ }\left(7x+4\right)^2-\left(7x-4\right)\left(7x+4\right)\)
b) \(^{ }8\left(x-2\right)-3\left(x^2-4x-5\right)-5x^2\)
c) \(^{^{ }}\left(x+1\right)^3-\left(x-1\right)\left(x^2+x+1\right)-3x\left(x+1\right)\)
BT6: Tính giá trị của biểu thức
\(1,A=5x\left(x^2-3\right)+x^2\left(7-5x\right)-7x^2\)tại \(x=-5\)
\(2,B=x\left(x^2-3\right)+x^2\left(7-5x\right)-7x^2\)tại \(x=10,y=-1\)
rut gọn biểu thức sau
a)\(3x^2-2x\left(5+1.5x\right)+10\)
b)\(7x\left(4y-x\right)+4y\left(y-7x\right)-2\left(2y^2-3.5x\right)\)
c)\(\hept{\begin{cases}\\\end{cases}}2x-3\left(x-1\right)-5\orbr{\begin{cases}\\\end{cases}x-4\left(3-2x\right)+10\orbr{\begin{cases}\\\end{cases}}}\)
1) giải phương trình:
a) \(\left(2x+3\right)\left(\frac{3x+8}{2-7x}+1\right)=\left(x+5\right)\left(\frac{3x+8}{2-7x}+1\right)\)
b) \(\frac{7x+10}{x+1}\left(x^2-x-2\right)-\frac{7x+10}{x+1}\left(2x^2-3x-5\right)=0\)
c) \(\frac{2x+5}{x+3}+1=\frac{4}{x^2+2x-3}-\frac{3x-1}{1-x}\)
d) \(\frac{13}{2x^2+x-21}+\frac{1}{2x+7}+\frac{6}{9-x^2}=0\)
e) \(\frac{x-49}{50}+\frac{x-50}{49}=\frac{49}{x-50}+\frac{50}{x-49}\)
f) \(\frac{1+\frac{x}{x+3}}{1-\frac{x}{x+3}}=3\)
a) \(\frac{7x}{8}-5\left(x-9\right)=\frac{20x+1,5}{6}\)
b) \(\frac{5\left(x-1\right)+2}{6}-\frac{7x-1}{4}=\frac{2\left(2x+1\right)}{7}-5\)
c) \(\frac{3\left(x-3\right)}{4}+\frac{4x-10,5}{10}=\frac{3\left(x+1\right)}{5}+6\)
d) \(\frac{2\left(3x+1\right)+1}{4}-5=\frac{2\left(3x-1\right)}{5}-\frac{3x+2}{10}\)