ai giúp mình rút gọn nào
\(\left(\frac{R1}{1+\beta\left(t_1-t_0\right)}+\frac{R2}{1+\beta\left(t_2+t_0\right)}\right)\left[1+\beta\left(\frac{t_1.\frac{R1\left[1+\beta\left(t_2-t_0\right)\right]}{R2\left[1+\beta\left(t_1-t_0\right)\right]}+t_2}{1+\frac{R1\left[1+\beta\left(t_2-t_0\right)\right]}{R2\left[1+\beta\left(t_1-t_0\right)\right]}}-t_0\right)\right]\)
\(\frac{1}{\left(a-b\right)\left(a-c\right)}+\frac{1}{\left(b-a\right)\left(b-c\right)}+\frac{1}{\left(c-a\right)\left(c-b\right)}\)
Tính: \(\left(1-\frac{1}{2^2}\right)\left(1-\frac{1}{3^2}\right)\left(1-\frac{1}{4^2}\right)...\left(1-\frac{1}{2013^2}\right)\left(1-\frac{1}{2014^2}\right)\)
Rút gọn phân thức
1/\(\frac{x^{3^{ }}-y^{3^{ }}+z^{3^{ }}+3xyz}{\left(x+y\right)^{2^{ }}+\left(y+z\right)^2+\left(z-x\right)^2}\)
2/\(\frac{x^{3^{ }}+y^{3^{ }}+z^3-3xyz}{\left(x-y\right)^2+\left(y-z\right)^2+\left(z-x\right)^2}\)
3/\(\frac{a^2\left(b-c\right)+b^2\left(c-a\right)+c^2\left(a-b\right)}{a^4\left(b^2-c^2\right)+b^4\left(c^2-a^3\right)+c^4\left(a^2-b^2\right)}\)
\(\frac{\left(x+1\right)\left(x+2\right)\left(x+3\right)\left(x+4\right)+4}{x^2+5x+4}\)
Tính giá trị của biểu thức:
\(\frac{\left(x-2\right)\left(2x+2x^2\right)}{\left(x+1\right)\left(4x-x^3\right)}\) vs x = -\(\frac{1}{2}\)
1) Rút gọn các phân thức sau
a) A = \(\frac{\left(x+y+z\right)^2-3xy-3yz-3xz}{9xyz-3x^2-3y^2-3z^2}\)
b) B = \(\frac{\left(x-y\right)^3+\left(y-z\right)^3+\left(z-x\right)^3}{\left(x^2-y^2\right)^3-\left(y^2-z^2\right)^3+\left(z^2-x^2\right)^3}\)
\(\frac{a^2}{\left(a-b\right)\left(a-c\right)}+\frac{b^2}{\left(b-a\right)\left(b-c\right)}+\frac{c^2}{\left(c-a\right)\left(c-b\right)}\)
Rút gọn biểu thức sau với x,y,z đôi một khác nhau P=\(\frac{x}{\left(x-y\right)\left(x-z\right)}+\frac{y}{\left(y-x\right)\left(y-z\right)}+\frac{z}{\left(z-y\right)\left(z-x\right)}\)
a,\(\frac{\left(2x^3\right)}{4x^7}\)
b,\(\frac{\left(x-1\right)}{\left(x+1\right)^2}.\frac{x^2+2x+1}{x^2-1}\)
c,\(\frac{x^2-7x+12}{x^2-16}\)
d, \(\frac{x-1}{\sqrt{x+1}}:\left(\sqrt{x-1}\right)\)
