Esercizio
$\frac{\left(\frac{\left(x-4\right)}{x-2}-\frac{\left(x-1\right)}{\left(x+3\right)}\right)}{x+3}$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. ((x-4)/(x-2)+(-(x-1))/(x+3))/(x+3). Applicare la formula: a+\frac{b}{c}=\frac{b+ac}{c}, dove a=\frac{x-4}{x-2}, b=-\left(x-1\right), c=x+3, a+b/c=\frac{x-4}{x-2}+\frac{-\left(x-1\right)}{x+3} e b/c=\frac{-\left(x-1\right)}{x+3}. Applicare la formula: a+\frac{b}{c}=\frac{b+ac}{c}, dove a=-\left(x-1\right), b=\left(x-4\right)\left(x+3\right), c=x-2, a+b/c=-\left(x-1\right)+\frac{\left(x-4\right)\left(x+3\right)}{x-2} e b/c=\frac{\left(x-4\right)\left(x+3\right)}{x-2}. Applicare la formula: \frac{\frac{a}{b}}{c}=\frac{a}{bc}, dove a=\frac{\left(x-4\right)\left(x+3\right)-\left(x-1\right)\left(x-2\right)}{x-2}, b=x+3, c=x+3, a/b/c=\frac{\frac{\frac{\left(x-4\right)\left(x+3\right)-\left(x-1\right)\left(x-2\right)}{x-2}}{x+3}}{x+3} e a/b=\frac{\frac{\left(x-4\right)\left(x+3\right)-\left(x-1\right)\left(x-2\right)}{x-2}}{x+3}. Applicare la formula: \frac{\frac{a}{b}}{c}=\frac{a}{bc}, dove a=\left(x-4\right)\left(x+3\right)-\left(x-1\right)\left(x-2\right), b=x-2, c=\left(x+3\right)^2, a/b/c=\frac{\frac{\left(x-4\right)\left(x+3\right)-\left(x-1\right)\left(x-2\right)}{x-2}}{\left(x+3\right)^2} e a/b=\frac{\left(x-4\right)\left(x+3\right)-\left(x-1\right)\left(x-2\right)}{x-2}.
((x-4)/(x-2)+(-(x-1))/(x+3))/(x+3)
Risposta finale al problema
$\frac{-14+2x}{\left(x-2\right)\left(x^{2}+6x+9\right)}$