\(=\dfrac{4x^3-2x^2+6x^2-3x+10x-5}{2x-1}=2x^2+3x+5\)
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Bài 5: Phép cộng các phân thức đại số
Các câu hỏi tương tự
B=[ x+1/2x-2+3/x2-1-x+3/2x+2]×4x2-4/5
x2-36/2x+10×3/6-x
5x+10/4x-8×4-2x/x+2
11-4x2/x2+4x:2-4x/3x
(1/x2+x-2-x/x+1)÷(1/x+x-2)
16+x/x^2- 2x+ 18/ 2x-x^2
2y/2x^2+4x/xy_2x^2
4-x^2/ x-3+ 2x-2x^2/3-x+ 5-4x/x-3
1) thực hiện các phép tính sau
a) 3x - 5/ 7+ 4x+ 5/7
b) 5xy - 4x/2x^2y^3 + 3xy+ 4y/2x^2y^3
c) x+1/X-5+x-18/x-5+x+2/x-5
2)
a) 2/x+3 + 1/x
b) x+1/2x-2+(-2x)/x^2-1
c) y - 12/6y- 36+ 6/ y^2- 6y
d) 6y/x+3x+3/2x+6
Rút gọn:
a)\(\dfrac{2}{2x+1}-\dfrac{1}{2x-1}+\dfrac{4}{4x^2-1}\)
b)\(\dfrac{4x^2-3x+5}{x^3+1}-\dfrac{1-2x}{x^2+x+1}-\dfrac{6}{x-1}\)
\(\dfrac{1}{x+3}+\dfrac{8-x}{4x^2+8x}\)
\(\dfrac{3-2x}{\left(x-5\right)\left(x+2\right)}+\dfrac{1}{x+5}\)
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)\(\dfrac{x}{x-1}+\dfrac{2}{x^2+x+1}+\dfrac{4x^2-1}{1-x^3}\)
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) \(\dfrac{x^3+2x}{x^3+1}+\dfrac{2x}{x^2-x+1}+\dfrac{1}{x+1}\)
tính: ( x^2 + x +1)/ ( 2x^3 + 4x^2+2x)+ ( x^2 -x+1)/( 2x^3-2x)+ 1/ ( 1+ x-x^2-X^3)
\(\dfrac{y}{2x^2-xy}+\dfrac{4x}{y^2-2xy}\)
\(\dfrac{1}{x+2}+\dfrac{3}{x^2-4}+\dfrac{x-14}{\left(x^2+4x+4\right).\left(x-2\right)}\)
\(\dfrac{1}{x+2}+\dfrac{1}{\left(x+2\right).\left(4x+7\right)}\)
\(\dfrac{1}{x+3}+\dfrac{1}{\left(x+3\right).\left(x+2\right)}+\dfrac{1}{\left(x+2\right).\left(4x+7\right)}\)
\(\dfrac{2x^2+4x}{x^3-4x}+\dfrac{x^2-4}{x^2+2x}+\dfrac{2}{2-x}\)