Rút gọn phân thức
2a^2-2ab/ac+ad-bc-bd rut gon phan thuc
\(=\dfrac{2a\left(a-b\right)}{a\left(c+d\right)-b\left(c+d\right)}=\dfrac{2a\left(a-b\right)}{\left(a-b\right)\left(c+d\right)}=\dfrac{2a}{c+d}\)
(x-5)(x^2+26)+(5-x)(1-5x)
rut gon phan thuc
1) Ket qua khi rut gon phan thuc \(\dfrac{x^2+2x+1}{x^3+1}\) la:
\(=\dfrac{\left(x+1\right)^2}{\left(x+1\right)\left(x^2-x+1\right)}=\dfrac{x+1}{x^2-x+1}\)
rut gon phan thuc
3x-6
x-2
\(\frac{3x-6}{x-2}=\frac{3\left(x-2\right)}{x-2}=3\)
ĐKXĐ: \(x\ne2\)
\(\frac{3x-6}{x-2}\)
\(=\frac{3.\left(x-2\right)}{x-2}\)
\(=3\)
\(\frac{3x-6}{x-2}\)
\(=\frac{3\left(x-2\right)}{x-2}\)
\(=3\)
rut gon phan thuc A=(x^3-6x+7)/(x^3+5x^2-2x-24)
cho phan thuc \(\frac{x+1}{x^2+x}\)
a) tim dieu kien cua x de gia tri phan thuc duoc xac dinh
b) rut gon phan thuc
c) tinh gia tri phan thuc tai x = 2014
a.dkxd la x khac-1
b.rut gon ta duoc 1/x
c.gia tri 1/2014
\(\frac{x^4-y^4}{y^3-x^3}\)
rut gon phan thuc
\(\frac{x^4-y^4}{y^3-x^3}=\frac{\left(x^2\right)^2-\left(y^2\right)^2}{\left(y-x\right)\left(y^2+xy+x^2\right)}=-\frac{\left(x^2-y^2\right)\left(x^2+y^2\right)}{\left(x-y\right)\left(x^2+xy+y^2\right)}=-\frac{\left(x-y\right)\left(x+y\right)\left(x^2+y^2\right)}{\left(x-y\right)\left(x^2+xy+y^2\right)}\)
\(=-\frac{\left(x+y\right)\left(x^2+y^2\right)}{x^2+xy+y^2}\)
rut gon phan thuc
a3+1
a2+3a+4
\(\frac{a^3+1}{a^2+3a+4}=\frac{\left(a+1\right)\left(a^2-a+1\right)}{a^2+3a+4}=\left(a^2-a+1\right)\left(\frac{a+1}{a^2+3a+4}\right)\)
2n^3 + 4n^2 + 3n +1 / 4n^4 +1
rut gon phan thuc
a^3 + b^3 + 3abc - c^3 / (a+b)^2 - c^2 rut gon phan thuc dai so