Question

operación con polinomio
ayuda ​

Answer 1

Procedimiento a)

$\frac{3x+3}{12x-12} :\frac{(x+1)^{2} }{x^{2}-1 } \\\\\frac{3\left(x+1\right)\left(x^2-1\right)}{\left12(x-1\right)\left(x+1\right)^2}\\\\\frac{x+1}{4(x-1)} *\frac{(x-1)*(x+1)}{(x+1)^{2} } \\\\\frac{x+1}{4} *\frac{1}{x+1} \\\\\frac{1}{4} *1\\\\\frac{1}{4}$

Procedimiento b)

$\frac{x-1}{x+1} :\frac{2x-1}{x^{2}+2x+1 } \\\\\frac{x-1}{x+1} *\frac{x^{2}+2x+1 }{2x-1} \\\\\frac{x-1}{x+1}*\frac{(x+1)^{2} }{2x-1} \\\\(x-1)*\frac{x+1}{2x-1} \\\\\frac{(x-1)*(x+1)}{2x-1} \\\\\frac{x^{2}-1 }{2x-1}$