Thực hiện phép tính:
\(\frac{1}{x^2+6x+9}\)+\(\frac{1}{6x-9x^2-9}+\frac{x}{x^2-9}\)
Những câu hỏi liên quan
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
\(\left(\frac{9}{x^2-9x}+\frac{1}{x+3}\right):\left(\frac{x-3}{x^2+3x}-\frac{x}{3x+9}\right)\)
Thực hiện phép tính
\(\frac{x^2+6x+9}{1-x}\)\(.\)\(\frac{\left(x-1\right)^3}{2\left(x+3\right)^3}\)
Bài làm:
đk: \(x\ne-3;x\ne1\)
Ta có: \(\frac{x^2+6x+9}{1-x}\cdot\frac{\left(x-1\right)^3}{2\left(x+3\right)^3}\)
\(=\frac{\left(x+3\right)^2}{-\left(x-1\right)}\cdot\frac{\left(x-1\right)^3}{2\left(x+3\right)^3}\)
\(=\frac{-\left(x-1\right)^2}{2\left(x+3\right)}\)
\(=-\frac{x^2-2x+1}{2x+6}\)
\(ĐKXĐ:\hept{\begin{cases}x\ne-3\\x\ne1\end{cases}}\)
\(\frac{x^2+6x+9}{1-x}.\frac{\left(x-1\right)^3}{2\left(x+3\right)^3}=\frac{-\left(x+3\right)^2}{x-1}.\frac{\left(x-1\right)^3}{2\left(x+3\right)^3}=\frac{-\left(x-1\right)^2}{2\left(x+3\right)}\)
Thực hiện phép tính
a) \(\frac{xy}{x^2-y^2}-\frac{x^2}{y^2-x^2}\)
b) \(\frac{7}{x}-\frac{x}{x+16}+\frac{36}{x^2-6x}\)
c) \(\frac{18}{\left(x-3\right).\left(x^2-9\right)}-\frac{3}{x^3-6x+9}-\frac{x}{x^2-9}\)
Bạn nào biết làm thì giúp mình nha! Thanks nhiều
Thực hiện phép tính :a)frac{x^2}{left(x-yright)^2left(x+yright)}-frac{2xy^2}{x^4-2x^2y^2+y^4}+frac{y^2}{left(x^2-y^2right)left(x+yright)} 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}
Đọc tiếp
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)\(\frac{a}{x^2+ax}+\frac{a}{x^2+3ax+2a^2}+\frac{a}{x^2+5ax+6a^2}+....+\frac{a}{x^2+19ax+90a^2}+\frac{1}{x+10a}\)
1, Thực hiện tính cộng, trừ, nhân, chia các phân thức sau:
a,\(\frac{2x-7}{10x-4}-\frac{3x+5}{4-10x}\)
b,\(\frac{2x+3}{4x^2y^2}:\frac{6x+9}{10x^2y}\)
c,\(\frac{x^2-y^2}{6x^2y^2}:\frac{x+y}{3xy}\)
d,\(\left(\frac{3x}{1-3x}+\frac{2x}{3x+1}\right):\frac{6x^2+10x}{1-6x+9x^2}\)
a) \(\frac{2x-7}{10x-4}-\frac{3x+5}{4-10x}\)
\(=\frac{2x-7}{10x-4}-\frac{-\left(3x+5\right)}{-\left(4-10x\right)}\)
\(=\frac{2x-7}{10x-4}-\frac{5-3x}{10x-4}\)
\(=\frac{2x-7-\left(5-3x\right)}{10x-4}\)
\(=\frac{2x-7-5+3x}{10x-4}\)
\(=\frac{5x-12}{10x-4}\)
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 luônMình tick nha
Đọc tiếp
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
Thực hiện phép tính\(\left(\frac{9}{x^3-9x}+\frac{1}{x+3}\right):\left(\frac{x-3}{x^2+3x}-\frac{x}{3x+9}\right)\)
\(ĐKXĐ:\hept{\begin{cases}x\ne0\\x\ne\pm3\end{cases}}\)
\(\left(\frac{9}{x^3-9x}+\frac{1}{x+3}\right):\left(\frac{x-3}{x^2+3x}-\frac{x}{3x+9}\right)\)
\(=\left(\frac{9}{x\left(x-3\right)\left(x+3\right)}+\frac{1}{x+3}\right):\left(\frac{x-3}{x\left(x+3\right)}-\frac{x}{3\left(x+3\right)}\right)\)
\(=\frac{9+x\left(x-3\right)}{x\left(x-3\right)\left(x+3\right)}:\frac{3x-9-x^2}{3x\left(x+3\right)}\)
\(=\frac{\left(9+x^2-3x\right)\left(x+3\right)3x}{x\left(x-3\right)\left(x+3\right)\left(3x-9-x^2\right)}\)
\(=\frac{-3}{x-3}\)
Thực hiện phép tính : 1/x^2+6x+9 + 1/6x-x^2-9 + x/x^2-9