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11 tháng 5 2022

Bạn ơi mik ra \(\dfrac{x^3+45x-54}{12\left(x-3\right)\left(x+3\right)}\) có đúng không bạn?

11 tháng 5 2022

Mình rút chx hết bạn bạn gửi cách làm bạn qua mình tham khảo đc k ạ?

a) \(A=\left[\dfrac{x+3}{\left(x-3\right)^2}+\dfrac{6}{x^2-9}-\dfrac{x-3}{\left(x+3\right)^2}\right]\left[1:\left(\dfrac{24x^2}{x^4-81}-\dfrac{12}{x^2+9}\right)\right]\)

\(\left(ĐKXĐ:x\ne\pm3\right)\)

\(=\dfrac{\left(x+3\right)^3+6\left(x-3\right)\left(x+3\right)-\left(x-3\right)^3}{\left(x-3\right)^2\left(x+3\right)^2}\cdot\left[1:\dfrac{24x^2-12\left(x^2-9\right)}{\left(x^2-9\right)\left(x^2+9\right)}\right]\)

\(=\dfrac{x^3+9x^2+27x+27+6x^2-54-x^3+9x^2-27x+27}{\left(x-3\right)^2\left(x+3\right)^2}\cdot\dfrac{\left(x^2-9\right)\left(x^2+9\right)}{24x^2-12x^2+108}\)

\(=\dfrac{24x^2\left(x^2+9\right)\left(x-3\right)\left(x+3\right)}{12\left(x^2+9\right)\left(x-3\right)^2\left(x+3\right)^2}\)

\(=\dfrac{2x^2}{x^2-9}\)

b) \(B=\left(\dfrac{x}{x^2-4}+\dfrac{2}{2-x}+\dfrac{1}{x+2}\right):\left[\left(x-2\right)+\dfrac{10-x^2}{x+2}\right]\)

\(=\left(\dfrac{x}{x^2-4}-\dfrac{2}{x-2}+\dfrac{1}{x+2}\right):\left(\dfrac{x-2}{1}+\dfrac{10-x^2}{x+2}\right)\)

\(=\dfrac{x-2\left(x+2\right)+x-2}{\left(x-2\right)\left(x+2\right)}:\dfrac{\left(x-2\right)\left(x+2\right)+10-x^2}{x+2}\)

\(=\dfrac{x-2x-4+x-2}{x^2-4}\cdot\dfrac{x+2}{x^2-4+10-x^2}\)

\(=\dfrac{-6\left(x+2\right)}{6\left(x+2\right)\left(x-2\right)}\)

\(=\dfrac{-1}{x-2}\)

phần b điều kiện xác định là \(x\ne\pm2\) nhé

Đề sai rồi bạn

15 tháng 12 2021

\(A=\dfrac{2x\left(x+1\right)\left(x-2\right)^2}{x\left(x-2\right)\left(x+2\right)\left(x+1\right)}=\dfrac{2\left(x-2\right)}{x+2}\\ A=\dfrac{2\left(\dfrac{1}{2}-2\right)}{\dfrac{1}{2}+2}=\dfrac{2\left(-\dfrac{3}{2}\right)}{\dfrac{5}{2}}=\left(-3\right)\cdot\dfrac{2}{5}=-\dfrac{6}{5}\)

\(B=\dfrac{x\left(x^2-xy+y^2\right)}{\left(x+y\right)\left(x^2-xy+y^2\right)}=\dfrac{x}{x+y}=\dfrac{-5}{-5+10}=\dfrac{-5}{5}=-1\)

a: \(A=\dfrac{-\left(x+2\right)^2-2x\left(x-2\right)-4x^2}{\left(x-2\right)\left(x+2\right)}\cdot\dfrac{-\left(x-2\right)\left(x-3\right)}{\left(x-3\right)^2}\)

\(=\dfrac{-x^2-4x-4-2x^2+4x-4x^2}{\left(x+2\right)}\cdot\dfrac{-1}{x-3}\)

\(=\dfrac{-7x^2-4}{\left(x+2\right)}\cdot\dfrac{-1}{x-3}=\dfrac{7x^2+4}{\left(x+2\right)\left(x-3\right)}\)

b: Khi x=1/3 thì \(A=\dfrac{7\cdot\dfrac{1}{9}+4}{\left(\dfrac{1}{3}-2\right)\left(\dfrac{1}{3}-3\right)}=\dfrac{43}{40}\)

a: ĐKXĐ: x<>0; x<>-3

b: \(=\dfrac{x^2+6x+9}{x\left(x+3\right)}\cdot\dfrac{2}{x+3}=\dfrac{2}{x}\)

c: Khi x=1/5 thì A=2:1/5=10

5 tháng 10 2021

a) \(=x^3-\dfrac{1}{27}-x^2+\dfrac{2}{3}x-\dfrac{1}{9}=x^3-x^2+\dfrac{2}{3}x-\dfrac{2}{27}\)

b) \(=x^6-6x^4+12x^2-8-x^3+x+x^2-3x=x^6-6x^4-x^3+13x^2-2x-8\)