A=\(\dfrac{3x^3-14x^2+3x+36}{3x^3-19x^2+33x-9}\)
=>A \(=\dfrac{\left(x-3\right)\left(3x^2-5x-12\right)}{\left(x-3\right)\left(3x^2-10x+3\right)}\)
=>A=\(\dfrac{\left(x-3\right)^2\left(3x+4\right)}{\left(x-3\right)^2\left(3x-1\right)}\)
=>A=\(\dfrac{3x+4}{3x-1}\)
rút gọn:
\(\dfrac{2x^3-7x^2-12x+45}{3x^3-19x^2+33x-9}\)
Rút gọn các phân thức sau :
a) \(\dfrac{\left(a+b\right)^2-c}{a+b+c}\)
b) \(\dfrac{a^2+b^2-c^2+2ab}{a^2-b^2+c^2+2ac}\)
c)\(\dfrac{2x^2-7x^2-12x+45}{3x^3-19x^3+33x-9}\)
Phân tích tử và mẫu thành nhân tử rồi rút gọn phân thức :
a) \(\dfrac{3x^2-12x+12}{x^4-8x}\)
b) \(\dfrac{7x^2+14x+7}{3x^2+3x}\)
Rút gọn A = \(\dfrac{3x}{x-1}\)+\(\dfrac{2}{x+1}\)+\(\dfrac{3-3x-2x^2}{x^2-1}\)
Cho A= \(\dfrac{5}{x+3}-\dfrac{2}{3-x}-\dfrac{3x^2-2x-9}{x^2-9}\)
a. Rút gọn A?
b. Tính A khi I x-2 I = 1
Rút gọn các phân thức sau:
a) \(\dfrac{x^6+2x^3y^3+y^6}{x^7-xy^6}\)
b) \(\dfrac{\left(2x^2+2x\right)\left(x-2\right)^2}{\left(x^3-4x\right)\left(x+1\right)}\)
c) \(\dfrac{x^3-x^2y+xy^2}{x^3+y^3}\)
d) \(\dfrac{a^2+b^2-c^2+2ab}{a^2-b^2+c^2+2ac}\)
e) \(\dfrac{2x^3-7x^2-12x+45}{3x^3-19x^2+33x-9}\)
Rút gọn phân thức
1. \(\dfrac{a^2\left(b-c\right)+b^2\left(c-a\right)+c^2\left(a-b\right)}{ab^2-ac^2-b^3+bc^2}\)
2.\(\dfrac{2x^3-7x^2-12x+45}{3x^3-19x^2+33x-9}\)
3.\(\dfrac{x^3-y^3+z^3+3xyz}{\left(x+y\right)^2+\left(y+z\right)^2+\left(z-x\right)^2}\)
4. \(\dfrac{x^3+y^3+z^3-3xyz}{\left(x-y\right)^2+\left(y-z\right)^2+\left(z-x\right)^2}\)
1 Rút gọn
\(\dfrac{x^3-3x^2+3x-1}{1-x+x^2y-xy}\)
Rút gọn phân thức
\(\dfrac{3^{3x}-3^{3y}}{3^x+3^y}\)
\(\dfrac{2^{4m}-2^{4n}}{2^{2n}+2^{2m}}\)
