\(=\dfrac{x+2x-9}{x-3}=\dfrac{3x-9}{x-3}=\dfrac{3\left(x-3\right)}{x-3}=3\)
\(=\dfrac{x+2x-9}{x-3}=\dfrac{3x-9}{x-3}=\dfrac{3\left(x-3\right)}{x-3}=3\)
Bài 1:tính
a)\(\dfrac{x^2-2^{ }}{x\left(x-1\right)^2}+\dfrac{2-x}{x\left(1-x\right)^2}\)
b)\(\dfrac{3}{2x}+\dfrac{3x-3}{2x-1}+\dfrac{2x^2+1}{4x^2-2x}\)
c)\(\dfrac{x}{x-1}+\dfrac{2}{x^2+x+1}+\dfrac{4x^2-1}{1-x^3}\)
a) \(\dfrac{1}{x}+\dfrac{1}{x+7}+\dfrac{x-1}{x^2+7}\)
b) \(\dfrac{x+1}{x-3}-\dfrac{1-x}{x+3}-\dfrac{2x\left(1-x\right)}{9-x^2}\)
thực hiện phép tính
1) \(\dfrac{1}{x^2+6x+9}+\dfrac{1}{6x-x^2+9}+\dfrac{x}{x^2-9}\) 2) \(\dfrac{x^2+2}{x^3-1}+\dfrac{2}{x^2+x+1}+\dfrac{1}{1-x}\) 3) \(\dfrac{x-3}{x+1}-\dfrac{x+2}{x-1}+\dfrac{8x}{x^2-1}\)
Cộng các phân thức khác mẫu thức :
a) \(\dfrac{5}{6x^2y}+\dfrac{7}{12xy^2}+\dfrac{11}{18xy}\)
b) \(\dfrac{4x+2}{15x^3y}+\dfrac{5y-3}{9x^2y}+\dfrac{x+1}{5xy^3}\)
c) \(\dfrac{3}{2x}+\dfrac{3x-3}{2x-1}+\dfrac{2x^2+1}{4x^2-2x}\)
d) \(\dfrac{x^3+2x}{x^3+1}+\dfrac{2x}{x^2-x+1}+\dfrac{1}{x+1}\)
chiều nay mình kiểm tra rồi, giúp mình với:
Thực hiện phép tính
a) \(\dfrac{4}{x^2+3x-4}+\dfrac{-2}{x^2-2x+1}\)
b) \(\dfrac{-2x}{x^2-6x+9}+\dfrac{x-2}{x-3}+\dfrac{3x-3}{x^2-6x+9}\)
Dùng quy tắc đổi dấu để tìm mẫu thức chung rồi thực hiện phép cộng :
a) \(\dfrac{4}{x+2}+\dfrac{2}{x-2}+\dfrac{5x-6}{4-x^2}\)
b) \(\dfrac{1-3x}{2x}+\dfrac{3x-2}{2x-1}+\dfrac{3x-2}{2x-4x^2}\)
c) \(\dfrac{1}{x^2+6x+9}+\dfrac{1}{6x-x^2-9}+\dfrac{x}{x^2-9}\)
d) \(\dfrac{x^2+2}{x^3-1}+\dfrac{2}{x^2+x+1}+\dfrac{1}{1-x}\)
e) \(\dfrac{x}{x-2y}+\dfrac{x}{x+2y}+\dfrac{4xy}{4y^2-x^2}\)
Làm tính cộng các phân thức sau :
a) \(\dfrac{5}{2x^2y}+\dfrac{3}{5xy^2}+\dfrac{x}{y^3}\)
b) \(\dfrac{x+1}{2x+6}+\dfrac{2x+3}{x\left(x+3\right)}\)
c) \(\dfrac{3x+5}{x^2-5x}+\dfrac{25-x}{25-5x}\)
d) \(x^2+\dfrac{x^4+1}{1-x^2}+1\)
e) \(\dfrac{4x^2-3x+17}{x^3-1}+\dfrac{2x-1}{x^2+x+1}+\dfrac{6}{1-x}\)
Làm tính cộng các phân thức :
a) \(\dfrac{11x+13}{3x-3}+\dfrac{15x+17}{4-4x}\)
b) \(\dfrac{2x+1}{2x^2-x}+\dfrac{32x^2}{1-4x^2}+\dfrac{1-2x}{2x^2+x}\)
c) \(\dfrac{1}{x^2+x+1}+\dfrac{1}{x^2-x}+\dfrac{2x}{1-x^3}\)
d) \(\dfrac{x^4}{1-x}+x^3+x^2+x+1\)
\(\dfrac{1}{x+3}+\dfrac{8-x}{4x^2+8x}\)
\(\dfrac{3-2x}{\left(x-5\right)\left(x+2\right)}+\dfrac{1}{x+5}\)