Question

Rút gọn các phân thức sau

a, (x-5)(x²+26)+(5-x)(1-5x)

b, (2/x-1 - 1/x+1)x^2-1/x^2+6x+9 +x+1/2x+6

Answer 1

a, ( x -5 )(x² + 26)+(5-x)(1-5x)

= ( x -5 )(x² + 26)-(x-5)(1-5x)

= ( x-5 )( x² +26 -1 + 5x )

= (x-5 )(x² +5x + 25 )

Answer 2

Câu b viết rõ ràng đc ko

Answer 3

b, = \(\frac{2\left(x+1\right)-\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}.\frac{\left(x-1\right)\left(x+1\right)}{\left(x+3\right)^2}+\frac{x+1}{2\left(x+3\right)} \)

=\(\frac{x+3}{\left(x+3\right)^2}+\frac{x+1}{2\left(x+3\right)}\)

=\(\frac{1}{x+3}+\frac{x+1}{2\left(x+3\right)}\)

=\(\frac{2+x+1}{2\left(x+3\right)}=\frac{1}{2}\)