rút gọn bt
\(\frac{a^2-bc}{\left(a+b\right)\left(a+c\right)}+\frac{b^2-ac}{\left(a+b\right)\left(b+c\right)}+\frac{c^2-ab}{\left(a+c\right)\left(c+b\right)}\)
giúp mình với m.n ơi.thanks trước nha!!!
Rút gọn phân thức sau:
Q=\(\frac{1}{\left(b-c\right)\left(a^2+ac-b^2-bc\right)}\)+\(\frac{1}{\left(c-a\right)\left(b^2+ab-c^2-ac\right)}\)+\(\frac{1}{\left(a-b\right)\left(c^2+bc-a^2-ab\right)}\)
\(\frac{a^2\left(b-c\right)+b^2\left(c-a\right)+c^2\left(a-b\right)}{ab^2-ac^2-b^3+bc^2}\)
Rút gọn phân thức trên
tính: \(\frac{1}{\left(b-c\right)\left(a^2+ac-b^2-bc\right)}+\frac{1}{\left(c-a\right)\left(b^2+ab-c^2-ac\right)}+\frac{1}{\left(a-b\right)\left(a^2+ab-c^2-bc\right)}\)
Tính (phân thức)
a)\(\frac{1}{\left(b-c\right)\left(a^2+ac-b^2-bc\right)}+\frac{1}{\left(c-a\right)\left(b^2+ab-c^2-ac\right)}+\frac{1}{\left(a-b\right)\left(c^2+bc-a^2-ab\right)}\)
Thực hiện phép tính :
\(\frac{1}{\left(b-c\right)\left(a^2+ac-b^2-bc\right)}+\frac{1}{\left(c-a\right)\left(b^2+ab-c^2-ac\right)}+\frac{1}{\left(a-b\right)\left(c^2+bc-a^2-ab\right)}\)
Rút gọn:
\(\left(a+b+c\right)\left(a^2+b^2+c^2-ab-ac-bc\right)\)
Cho a,b,c >0 CMR : \(\frac{c\left(ab+1\right)^2}{b^2\left(bc+1\right)}+\frac{a\left(bc+1\right)^2}{c^2\left(ac+1\right)}+\frac{b\left(ac+1\right)^2}{a^2\left(ab+1\right)}\ge6\)
Rút gọn phân thức :
a) A = \(\frac{bc-a^2+ac-b^2+ab-c^2}{a\left(bc-a^2\right)+b\left(ac-b^2\right)+c\left(ab-c^2\right)}\)
b) B = \(\frac{x^5+x+1}{x^3+x^2+x}\)
c) C = \(\frac{y^3-x^3}{x^3-3x^2y+3xy^2-y^3}\)