Thực hiện phép tính :
a)\(\frac{x^2}{\left(x-y\right)^2\left(x+y\right)}-\frac{2xy^2}{x^4-2x^2y^2+y^4}+\frac{y^2}{\left(x^2-y^2\right)\left(x+y\right)}\)
b)\(\frac{1}{x-1}-\frac{1}{x+1}-\frac{2}{x^2+1}-\frac{4}{x^4+1}-\frac{8}{x^{8+1}}-\frac{16}{x^{16}+1}\)
c)\(\frac{1}{x^2+6x+9}+\frac{1}{6x-x^2-9}+\frac{x}{x^2-9}\)
d)\(\frac{a}{x^2+ax}+\frac{a}{x^2+3ax+2a^2}+\frac{a}{x^2+5ax+6a^2}+....+\frac{a}{x^2+19ax+90a^2}+\frac{1}{x+10a}\)
thực hiện phép trừ phân thức không cùng mẫu:
a/\(\frac{8+9}{x^2-9}-\frac{3}{x^2+3x}\) b/ \(\frac{18}{\left(x-3\right)\left(x^2-9\right)}-\frac{3}{x^2-6x+9}-\frac{x}{x^2-9}\)
Thực hiện phép tình:
\(\left[\frac{1}{x^2+6x+9}-\frac{1}{x^2-6x+9}\right]:\left[\frac{1}{x+3}+\frac{1}{x-3}\right]\)
Thực hiện phép tính:
a. \(\frac{x}{xy-y^2}\)+ \(\frac{2x-y}{xy-y^2}\)
b. \(\frac{x^2+3x}{x^2+6x+9}\)+ \(\frac{3}{x-3}\)+\(\frac{6x}{9-x^2}\)
c. \(\frac{x+9}{x^2-9}\)- \(\frac{3}{x^2+3x}\)
d. x - 1 - \(\frac{x^2-4}{x+1}\)
giúp mình nha, cần gấp lắm luôn
Mình tick nha
1. Tính:
a) \(\frac{18}{\left(x-3\right)\left(x^2-9\right)}-\frac{3}{x^2-6x+9}-\frac{x}{x^2-9}\)
b) \(\frac{x}{5x+5}-\frac{x}{10x-10}\)
c) \(\frac{x+9}{x^2-9}-\frac{3}{x^2+3x}\)
a) \(\left(\frac{1}{x^2+x}-\frac{2-x}{x+1}\right):\left(\frac{1}{x}+x-2\right)\)
b) \(\left(\frac{3x}{1-3x}+\frac{2x}{3x+1}\right):\frac{6x^2+10x}{1-6x+9x^2}\)
c) \(\frac{x^3}{x-1}-\frac{x^2}{x+1}-\frac{1}{x-1}+\frac{1}{x+1}\)
d) \(\frac{x^3+x^2-2x-20}{x^2-4}-\frac{5}{x+2}+\frac{3}{x-2}\)
e) \(\left[\frac{x^2-y^2}{xy}-\frac{1}{x+y}\left(\frac{x^2}{y}-\frac{y^2}{x}\right)\right]:\frac{x-y}{x}\)
Trừ phân thức
a) \(\frac{1}{3x-2}-\frac{1}{3x+2}-\frac{3x-6}{4-9x^2}\)
b) \(\frac{18}{\left(x-3\right)\left(x^2-9\right)}-\frac{3}{x^2-6x+9}-\frac{x^2}{x^2-9}\)
Bái 3. Thực hiện phép tính
A=\(\frac{4x^3}{x^4-16}-\frac{1}{x+2}+\frac{2x}{x^2+4}-\frac{1}{x-2}\\ \)
B= \(\frac{1}{x-1}+\frac{2x+3}{\left(x+1\right)^2}-\frac{1}{\left(x+1\right)^2}-\frac{3x-2}{x^2-1}\)
C= \(\left(1+\frac{1}{x}\right)\left(1+\frac{1}{x+1}\right)\left(1+\frac{1}{x+2}\right)...\left(1+\frac{1}{x+9}\right)\)
Thực hiện phép tính
a)\(\left(x^2+\frac{2}{5}y\right)\cdot\left(x^2+\frac{2}{5}y\right)\)
b)\(\left(x^2-\frac{1}{3}\right)\cdot\left(x^4+\frac{1}{3}x^2+\frac{1}{9}\right)\)
Giúp mình nha mọi người