Bài 5: Phép cộng các phân thức đại số
Các câu hỏi tương tự
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}
Đọc tiếp
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) \(\dfrac{x}{x-2y}+\dfrac{x}{x+2y}+\dfrac{4xy}{4y^2-x^2}\)
a) dfrac{x^2-x}{x-2}+dfrac{4-3x}{x-2}
b) dfrac{a+2b}{3a-b}+dfrac{2a-5b}{b-3a}
c) dfrac{2}{x^2-9}+dfrac{1}{x+3}
d) dfrac{4x}{x^2-4}+dfrac{x}{x+2}+dfrac{2}{x-2}
e) dfrac{3x^2-x+3}{x^3-1}+dfrac{1-x}{x^2+x+1}+dfrac{2}{1-x}
f) dfrac{1}{x^2+3x+2}+dfrac{1-x}{x^2+x+1}+dfrac{2}{1-x}
g) dfrac{a^3}{left(a-bright)left(a-cright)}+dfrac{b^3}{left(b-aright)left(b-cright)}+dfrac{c^3}{left(c-aright)left(c-bright)}
h) dfrac{1}{1-x}+dfrac{1}{1+x}+dfrac{2}{1+x^2}+dfrac{4}{1+x^4}+dfrac{8}{1+x^8}
Đọc tiếp
a) \(\dfrac{x^2-x}{x-2}+\dfrac{4-3x}{x-2}\)
b) \(\dfrac{a+2b}{3a-b}+\dfrac{2a-5b}{b-3a}\)
c) \(\dfrac{2}{x^2-9}+\dfrac{1}{x+3}\)
d) \(\dfrac{4x}{x^2-4}+\dfrac{x}{x+2}+\dfrac{2}{x-2}\)
e) \(\dfrac{3x^2-x+3}{x^3-1}+\dfrac{1-x}{x^2+x+1}+\dfrac{2}{1-x}\)
f) \(\dfrac{1}{x^2+3x+2}+\dfrac{1-x}{x^2+x+1}+\dfrac{2}{1-x}\)
g) \(\dfrac{a^3}{\left(a-b\right)\left(a-c\right)}+\dfrac{b^3}{\left(b-a\right)\left(b-c\right)}+\dfrac{c^3}{\left(c-a\right)\left(c-b\right)}\)
h) \(\dfrac{1}{1-x}+\dfrac{1}{1+x}+\dfrac{2}{1+x^2}+\dfrac{4}{1+x^4}+\dfrac{8}{1+x^8}\)
Cộng các phân thức cùng mẫu thức :
a) \(\dfrac{1-2x}{6x^3y}+\dfrac{3+2y}{6x^3y}+\dfrac{2y-4}{6x^3y}\)
b) \(\dfrac{x^2-2}{x\left(x-1\right)^2}+\dfrac{2-x}{x\left(x-1\right)^2}\)
c) \(\dfrac{3x+1}{x^2-3x+1}+\dfrac{x^6-6x}{x^2-3x+1}\)
d) \(\dfrac{x^2+38x+4}{2x^2+17x+1}+\dfrac{3x^2-4x-2}{2x^2+17x+1}\)
Làm tính cộng :
a) \(\dfrac{5x+30}{x^3-x^2-6x}+\dfrac{4x+12}{x^2+2x}+\dfrac{x}{3-x}\)
b) \(\dfrac{x}{x+1}+\dfrac{1}{1-x^2}+\dfrac{x^5+x+1}{x^4+x^3-x-1}\)
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) \(\dfrac{-2x}{x^2-6x+9}+\dfrac{x-2}{x-3}+\dfrac{3x-3}{x^2-6x+9}\)
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
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) \(\dfrac{x^3+2x}{x^3+1}+\dfrac{2x}{x^2-x+1}+\dfrac{1}{x+1}\)
\(\dfrac{1}{x+3}+\dfrac{8-x}{4x^2+8x}\)
\(\dfrac{3-2x}{\left(x-5\right)\left(x+2\right)}+\dfrac{1}{x+5}\)